Podcast
Questions and Answers
What is the effect of the parameter $p$ on the graph of $y = a(x + p)^2 + q$?
What is the effect of the parameter $p$ on the graph of $y = a(x + p)^2 + q$?
- Change in the shape of the graph
- Vertical shift
- Change in the axis of symmetry
- Horizontal shift (correct)
What is the turning point of the graph of $y = ax^2 + q$ when $a > 0$ and $q > 0$?
What is the turning point of the graph of $y = ax^2 + q$ when $a > 0$ and $q > 0$?
- Minimum turning point above the x-axis (correct)
- Minimum turning point below the x-axis
- Maximum turning point below the x-axis
- Maximum turning point above the x-axis
What happens to the graph of $y = ax^2 + q$ when $a$ becomes larger?
What happens to the graph of $y = ax^2 + q$ when $a$ becomes larger?
- The graph becomes wider
- The graph becomes horizontal
- The graph remains the same
- The graph becomes narrower (correct)
What is the effect of the parameter $q$ on the graph of $y = a(x + p)^2 + q$?
What is the effect of the parameter $q$ on the graph of $y = a(x + p)^2 + q$?
What is the shape of the graph of $y = a(x + p)^2 + q$ when $a < 0$?
What is the shape of the graph of $y = a(x + p)^2 + q$ when $a < 0$?
What is the axis of symmetry of the graph of $y = a(x + p)^2 + q$?
What is the axis of symmetry of the graph of $y = a(x + p)^2 + q$?
What is the y-intercept of the graph of $y = ax^2 + q$?
What is the y-intercept of the graph of $y = ax^2 + q$?
What happens to the graph of $y = a(x + p)^2 + q$ when $a = 0$?
What happens to the graph of $y = a(x + p)^2 + q$ when $a = 0$?
What is the effect of a change in p on the graph of y = a/(x + p) + q?
What is the effect of a change in p on the graph of y = a/(x + p) + q?
What is the vertical asymptote of the hyperbola y = a/(x + p) + q?
What is the vertical asymptote of the hyperbola y = a/(x + p) + q?
What is the range of the function y = ab^x + q, if a > 0?
What is the range of the function y = ab^x + q, if a > 0?
What is the effect of a on the shape of the graph of y = ab^x + q?
What is the effect of a on the shape of the graph of y = ab^x + q?
What is the effect of q on the graph of y = a/(x + p) + q?
What is the effect of q on the graph of y = a/(x + p) + q?
What is the horizontal asymptote of the graph of y = ab^(x+p) + q?
What is the horizontal asymptote of the graph of y = ab^(x+p) + q?
What is the range of the function y = a/(x + p) + q?
What is the range of the function y = a/(x + p) + q?
What is the domain of a quadratic function?
What is the domain of a quadratic function?
What is the effect of p on the graph of y = ab^(x+p) + q?
What is the effect of p on the graph of y = ab^(x+p) + q?
What is the range of the quadratic function f(x) = ax^2 + bx + c, where a > 0?
What is the range of the quadratic function f(x) = ax^2 + bx + c, where a > 0?
What is the x-intercept of the graph of y = a/(x + p) + q?
What is the x-intercept of the graph of y = a/(x + p) + q?
What is the x-intercept of the quadratic function f(x) = ax^2 + bx + c?
What is the x-intercept of the quadratic function f(x) = ax^2 + bx + c?
What is the equation of the axis of symmetry of the quadratic function f(x) = a(x + p)^2 + q?
What is the equation of the axis of symmetry of the quadratic function f(x) = a(x + p)^2 + q?
What is the effect of a on the graph of y = ab^(x+p) + q, if a < 0?
What is the effect of a on the graph of y = ab^(x+p) + q, if a < 0?
What is the effect of replacing x with x - m in the equation of a parabola?
What is the effect of replacing x with x - m in the equation of a parabola?
What is the average gradient of a curve between two points?
What is the average gradient of a curve between two points?
What is the formula for the average gradient of a curve?
What is the formula for the average gradient of a curve?
What is the effect of q on the graph of the hyperbolic function y = a/x + q?
What is the effect of q on the graph of the hyperbolic function y = a/x + q?
What is the horizontal asymptote of the hyperbolic function y = a/x + q?
What is the horizontal asymptote of the hyperbolic function y = a/x + q?
What is the effect of a on the shape and quadrants of the graph of the hyperbolic function y = a/x + q?
What is the effect of a on the shape and quadrants of the graph of the hyperbolic function y = a/x + q?
What is the period of the sine function y = sinθ?
What is the period of the sine function y = sinθ?
What is the amplitude of the sine function y = sinθ?
What is the amplitude of the sine function y = sinθ?
What is the effect of q on the graph of y = a sinθ + q?
What is the effect of q on the graph of y = a sinθ + q?
What is the effect of k on the period of the sine function y = sin kθ?
What is the effect of k on the period of the sine function y = sin kθ?
What is the period of the function y = tanθ?
What is the period of the function y = tanθ?
What is the domain of the function y = tanθ?
What is the domain of the function y = tanθ?
What is the x-intercept of the sine function y = sinθ?
What is the x-intercept of the sine function y = sinθ?
What is the effect of a on the shape of the graph of y = a tanθ?
What is the effect of a on the shape of the graph of y = a tanθ?
What is the effect of a on the amplitude of the sine function y = a sinθ?
What is the effect of a on the amplitude of the sine function y = a sinθ?
What is the effect of k on the period of the function y = tan kθ?
What is the effect of k on the period of the function y = tan kθ?
What is the period of the cosine function y = cosθ?
What is the period of the cosine function y = cosθ?
What is the effect of p on the graph of y = cos(θ + p)?
What is the effect of p on the graph of y = cos(θ + p)?
What is the range of the function y = tan kθ?
What is the range of the function y = tan kθ?
What is the effect of p on the graph of y = tan(θ + p)?
What is the effect of p on the graph of y = tan(θ + p)?
What is the maximum turning point of the cosine function y = cosθ?
What is the maximum turning point of the cosine function y = cosθ?
What is the y-intercept of the cosine function y = cosθ?
What is the y-intercept of the cosine function y = cosθ?
What is the x-intercept of the graph of y = tan kθ?
What is the x-intercept of the graph of y = tan kθ?
What is the y-intercept of the graph of y = tan kθ?
What is the y-intercept of the graph of y = tan kθ?
What is the effect of a horizontal shift on the graph of y = a(x + p)^2 + q?
What is the effect of a horizontal shift on the graph of y = a(x + p)^2 + q?
What is the shape of the graph of y = a(x + p)^2 + q when a = 1 and q < 0?
What is the shape of the graph of y = a(x + p)^2 + q when a = 1 and q < 0?
What happens to the graph of y = ax^2 + q when a becomes smaller?
What happens to the graph of y = ax^2 + q when a becomes smaller?
What is the turning point of the graph of y = ax^2 + q when a < 0 and q > 0?
What is the turning point of the graph of y = ax^2 + q when a < 0 and q > 0?
What is the effect of p on the axis of symmetry of the graph of y = a(x + p)^2 + q?
What is the effect of p on the axis of symmetry of the graph of y = a(x + p)^2 + q?
What happens to the graph of y = ax^2 + q when q becomes larger?
What happens to the graph of y = ax^2 + q when q becomes larger?
What is the shape of the graph of y = a(x + p)^2 + q when a < 0 and q > 0?
What is the shape of the graph of y = a(x + p)^2 + q when a < 0 and q > 0?
What happens to the graph of y = ax^2 + q when a becomes larger?
What happens to the graph of y = ax^2 + q when a becomes larger?
What is the domain of a quadratic function?
What is the domain of a quadratic function?
What is the range of the function y = a(x + p)^2 + q, if a > 0?
What is the range of the function y = a(x + p)^2 + q, if a > 0?
What is the turning point of the graph of y = a(x + p)^2 + q?
What is the turning point of the graph of y = a(x + p)^2 + q?
What is the effect of a horizontal shift of m units to the right on the graph of y = ax^2 + bx + c?
What is the effect of a horizontal shift of m units to the right on the graph of y = ax^2 + bx + c?
What is the average gradient of a curve between two points A(x_A, y_A) and C(x_C, y_C)?
What is the average gradient of a curve between two points A(x_A, y_A) and C(x_C, y_C)?
What is the vertical asymptote of the hyperbolic function y = a/(x + p) + q?
What is the vertical asymptote of the hyperbolic function y = a/(x + p) + q?
What is the effect of a on the shape of the graph of y = a/(x + p) + q?
What is the effect of a on the shape of the graph of y = a/(x + p) + q?
What is the equation of the axis of symmetry of the graph of y = a(x + p)^2 + q?
What is the equation of the axis of symmetry of the graph of y = a(x + p)^2 + q?
How do you find the x-intercept of a quadratic function?
How do you find the x-intercept of a quadratic function?
What is the effect of a horizontal shift of n units upwards on the graph of y = a(x + p)^2 + q?
What is the effect of a horizontal shift of n units upwards on the graph of y = a(x + p)^2 + q?
What is the period of the sine function y = sin kθ?
What is the period of the sine function y = sin kθ?
What is the effect of a on the amplitude of the sine function y = a sin θ?
What is the effect of a on the amplitude of the sine function y = a sin θ?
What is the y-intercept of the sine function y = sin θ?
What is the y-intercept of the sine function y = sin θ?
What is the effect of q on the graph of y = a sin θ + q?
What is the effect of q on the graph of y = a sin θ + q?
What is the range of the sine function y = sin θ?
What is the range of the sine function y = sin θ?
What is the period of the cosine function y = cos kθ?
What is the period of the cosine function y = cos kθ?
What is the effect of a on the shape of the graph of y = a cos θ?
What is the effect of a on the shape of the graph of y = a cos θ?
What is the x-intercept of the cosine function y = cos θ?
What is the x-intercept of the cosine function y = cos θ?
What is the effect of p on the graph of y = cos(θ + p)?
What is the effect of p on the graph of y = cos(θ + p)?
What is the maximum turning point of the cosine function y = cos θ?
What is the maximum turning point of the cosine function y = cos θ?
What is the period of the function y = tanθ?
What is the period of the function y = tanθ?
What is the effect of a on the shape of the graph of y = a tanθ?
What is the effect of a on the shape of the graph of y = a tanθ?
What is the effect of k on the period of the function y = tan kθ?
What is the effect of k on the period of the function y = tan kθ?
What is the domain of the function y = tan kθ?
What is the domain of the function y = tan kθ?
What is the effect of q on the graph of y = a tanθ + q?
What is the effect of q on the graph of y = a tanθ + q?
What is the range of the function y = tan kθ?
What is the range of the function y = tan kθ?
What is the effect of p on the graph of y = tan(θ + p)?
What is the effect of p on the graph of y = tan(θ + p)?
What is the y-intercept of the graph of y = tan kθ?
What is the y-intercept of the graph of y = tan kθ?
What is the effect of a change in a on the shape of the graph of y = a/(x + p) + q?
What is the effect of a change in a on the shape of the graph of y = a/(x + p) + q?
What is the domain of the function y = a/(x + p) + q?
What is the domain of the function y = a/(x + p) + q?
What is the vertical asymptote of the graph of y = ab^x + q?
What is the vertical asymptote of the graph of y = ab^x + q?
What is the effect of a change in p on the graph of y = ab^(x+p) + q?
What is the effect of a change in p on the graph of y = ab^(x+p) + q?
What is the range of the function y = ab^x + q, if a > 0?
What is the range of the function y = ab^x + q, if a > 0?
What is the axis of symmetry of the hyperbola y = a/(x + p) + q?
What is the axis of symmetry of the hyperbola y = a/(x + p) + q?
What is the effect of a change in q on the graph of y = a/(x + p) + q?
What is the effect of a change in q on the graph of y = a/(x + p) + q?
What is the horizontal asymptote of the graph of y = ab^(x+p) + q?
What is the horizontal asymptote of the graph of y = ab^(x+p) + q?
What is the effect of a change in a on the range of the function y = a/(x + p) + q?
What is the effect of a change in a on the range of the function y = a/(x + p) + q?
What is the x-intercept of the graph of y = ab^x + q?
What is the x-intercept of the graph of y = ab^x + q?
What is the effect of a negative value of a on the graph of y = ax^2 + q?
What is the effect of a negative value of a on the graph of y = ax^2 + q?
What is the effect of a positive value of q on the graph of y = ax^2 + q?
What is the effect of a positive value of q on the graph of y = ax^2 + q?
What happens to the graph of y = ax^2 + q when a becomes larger?
What happens to the graph of y = ax^2 + q when a becomes larger?
What is the effect of a positive value of p on the graph of y = a(x + p)^2 + q?
What is the effect of a positive value of p on the graph of y = a(x + p)^2 + q?
What is the axis of symmetry of the graph of y = a(x + p)^2 + q?
What is the axis of symmetry of the graph of y = a(x + p)^2 + q?
What is the effect of a on the graph of y = ax^2 + q when a is close to 0?
What is the effect of a on the graph of y = ax^2 + q when a is close to 0?
What is the turning point of the graph of y = a(x + p)^2 + q?
What is the turning point of the graph of y = a(x + p)^2 + q?
What is the effect of a on the graph of y = a(x + p)^2 + q when a is negative?
What is the effect of a on the graph of y = a(x + p)^2 + q when a is negative?
What is the effect of a change in the parameter a on the shape of the graph of y = a/x + q?
What is the effect of a change in the parameter a on the shape of the graph of y = a/x + q?
What is the domain of the function y = ab^x + q?
What is the domain of the function y = ab^x + q?
What is the horizontal asymptote of the graph of y = ab^(x+p) + q?
What is the horizontal asymptote of the graph of y = ab^(x+p) + q?
What is the effect of a change in the parameter p on the graph of y = ab^(x+p) + q?
What is the effect of a change in the parameter p on the graph of y = ab^(x+p) + q?
What is the range of the function y = ab^x + q when a > 0?
What is the range of the function y = ab^x + q when a > 0?
What is the vertical asymptote of the hyperbola y = a/(x + p) + q?
What is the vertical asymptote of the hyperbola y = a/(x + p) + q?
What is the effect of a change in the parameter q on the graph of y = a/(x + p) + q?
What is the effect of a change in the parameter q on the graph of y = a/(x + p) + q?
What is the period of the function y = sin(kθ)?
What is the period of the function y = sin(kθ)?
What is the axis of symmetry of the hyperbola y = a/(x + p) + q?
What is the axis of symmetry of the hyperbola y = a/(x + p) + q?
What is the effect of a change in the parameter a on the graph of y = ab^(x+p) + q?
What is the effect of a change in the parameter a on the graph of y = ab^(x+p) + q?
What is the effect of a on the amplitude of the function y = a sin(θ)?
What is the effect of a on the amplitude of the function y = a sin(θ)?
What is the range of the function y = sin(kθ)?
What is the range of the function y = sin(kθ)?
What is the y-intercept of the graph of y = ab^x + q?
What is the y-intercept of the graph of y = ab^x + q?
What is the effect of p on the graph of y = sin(θ + p)?
What is the effect of p on the graph of y = sin(θ + p)?
What is the effect of a on the shape of the graph of y = a cos(θ)?
What is the effect of a on the shape of the graph of y = a cos(θ)?
What is the y-intercept of the graph of y = cos(θ)?
What is the y-intercept of the graph of y = cos(θ)?
What is the period of the function y = cos(kθ)?
What is the period of the function y = cos(kθ)?
What is the effect of p on the graph of y = cos(θ + p)?
What is the effect of p on the graph of y = cos(θ + p)?
What is the domain of the function y = sin(kθ)?
What is the domain of the function y = sin(kθ)?
What is the x-intercept of the graph of y = sin(θ)?
What is the x-intercept of the graph of y = sin(θ)?
For a quadratic function f(x) = ax^2 + bx + c, how do you find the x-intercept(s)?
For a quadratic function f(x) = ax^2 + bx + c, how do you find the x-intercept(s)?
What is the vertical asymptote of the hyperbolic function y = a/(x + p) + q?
What is the vertical asymptote of the hyperbolic function y = a/(x + p) + q?
What is the effect of shifting a parabola m units to the right?
What is the effect of shifting a parabola m units to the right?
What is the formula for calculating the average gradient of a curve?
What is the formula for calculating the average gradient of a curve?
What is the effect of a on the shape of the graph of the hyperbolic function y = a/x + q?
What is the effect of a on the shape of the graph of the hyperbolic function y = a/x + q?
How do you find the y-intercept of a quadratic function f(x) = ax^2 + bx + c?
How do you find the y-intercept of a quadratic function f(x) = ax^2 + bx + c?
What is the effect of a horizontal shift on the graph of y = a(x + p)^2 + q?
What is the effect of a horizontal shift on the graph of y = a(x + p)^2 + q?
What is the axis of symmetry of the graph of y = a(x + p)^2 + q?
What is the axis of symmetry of the graph of y = a(x + p)^2 + q?
What is the average gradient of a curve between two points A(a, f(a)) and Q(a + h, f(a + h))?
What is the average gradient of a curve between two points A(a, f(a)) and Q(a + h, f(a + h))?
What is the effect of q on the graph of the hyperbolic function y = a/x + q?
What is the effect of q on the graph of the hyperbolic function y = a/x + q?
What is the period of the tangent function y = tanθ?
What is the period of the tangent function y = tanθ?
What is the effect of the parameter q on the graph of y = a tanθ + q?
What is the effect of the parameter q on the graph of y = a tanθ + q?
What is the domain of the function y = tan kθ?
What is the domain of the function y = tan kθ?
What is the effect of the parameter k on the period of the function y = tan kθ?
What is the effect of the parameter k on the period of the function y = tan kθ?
What is the effect of a on the shape of the graph of y = a tanθ?
What is the effect of a on the shape of the graph of y = a tanθ?
What is the effect of the parameter p on the graph of y = tan(θ + p)?
What is the effect of the parameter p on the graph of y = tan(θ + p)?
What is the y-intercept of the graph of y = tan kθ?
What is the y-intercept of the graph of y = tan kθ?
What is the range of the function y = tan kθ?
What is the range of the function y = tan kθ?
What is the effect of a on the amplitude of the sine function y = a sinθ?
What is the effect of a on the amplitude of the sine function y = a sinθ?
What is the effect of k on the period of the cosine function y = cos kθ?
What is the effect of k on the period of the cosine function y = cos kθ?
What is the y-intercept of the graph of y = sinθ?
What is the y-intercept of the graph of y = sinθ?
What is the effect of p on the graph of y = sin(θ + p)?
What is the effect of p on the graph of y = sin(θ + p)?
What is the range of the cosine function y = cosθ?
What is the range of the cosine function y = cosθ?
What is the effect of a on the shape of the graph of y = a cosθ?
What is the effect of a on the shape of the graph of y = a cosθ?
What is the x-intercept of the graph of y = cosθ?
What is the x-intercept of the graph of y = cosθ?
What is the period of the function y = sin kθ?
What is the period of the function y = sin kθ?
What is the effect of q on the graph of y = a sinθ + q?
What is the effect of q on the graph of y = a sinθ + q?
What is the maximum turning point of the sine function y = sinθ?
What is the maximum turning point of the sine function y = sinθ?
What is the effect of a on the shape of the graph of y = a tanθ?
What is the effect of a on the shape of the graph of y = a tanθ?
What is the period of the graph of y = tan kθ?
What is the period of the graph of y = tan kθ?
What is the effect of p on the graph of y = tan(θ + p)?
What is the effect of p on the graph of y = tan(θ + p)?
What is the range of the graph of y = tan kθ?
What is the range of the graph of y = tan kθ?
What is the domain of the graph of y = tan kθ?
What is the domain of the graph of y = tan kθ?
What is the effect of k on the period of the graph of y = tan kθ?
What is the effect of k on the period of the graph of y = tan kθ?
What is the x-intercept of the graph of y = tan kθ?
What is the x-intercept of the graph of y = tan kθ?
What is the y-intercept of the graph of y = tan kθ?
What is the y-intercept of the graph of y = tan kθ?
What is the effect of the parameter $a$ on the graph of $y = a/x + q$?
What is the effect of the parameter $a$ on the graph of $y = a/x + q$?
What is the range of the function $y = ab^x + q$, if $a < 0$?
What is the range of the function $y = ab^x + q$, if $a < 0$?
What is the effect of replacing x with x - m in the equation of a parabola?
What is the effect of replacing x with x - m in the equation of a parabola?
What is the axis of symmetry of the graph of $y = ab^{(x+p)} + q$?
What is the axis of symmetry of the graph of $y = ab^{(x+p)} + q$?
What is the axis of symmetry of the graph of y = a(x + p)^2 + q?
What is the axis of symmetry of the graph of y = a(x + p)^2 + q?
What happens to the graph of $y = a/x + q$ when $a$ tends to 0?
What happens to the graph of $y = a/x + q$ when $a$ tends to 0?
What is the effect of a on the shape of the graph of y = a/(x + p) + q?
What is the effect of a on the shape of the graph of y = a/(x + p) + q?
What is the effect of a change in $p$ on the graph of $y = ab^{(x+p)} + q$?
What is the effect of a change in $p$ on the graph of $y = ab^{(x+p)} + q$?
What is the average gradient of a curve between two points A and C?
What is the average gradient of a curve between two points A and C?
What is the horizontal asymptote of the graph of $y = a/(x + p) + q$?
What is the horizontal asymptote of the graph of $y = a/(x + p) + q$?
What is the domain of the function $y = a/(x + p) + q$?
What is the domain of the function $y = a/(x + p) + q$?
What is the effect of q on the graph of y = a/(x + p) + q?
What is the effect of q on the graph of y = a/(x + p) + q?
What is the formula for the average gradient of a curve?
What is the formula for the average gradient of a curve?
What is the effect of a change in $q$ on the graph of $y = ab^x + q$?
What is the effect of a change in $q$ on the graph of $y = ab^x + q$?
What is the horizontal asymptote of the graph of y = a/(x + p) + q?
What is the horizontal asymptote of the graph of y = a/(x + p) + q?
What is the axis of symmetry of the hyperbola $y = a/x + q$?
What is the axis of symmetry of the hyperbola $y = a/x + q$?
What is the effect of a change in $a$ on the graph of $y = a/(x + p) + q$?
What is the effect of a change in $a$ on the graph of $y = a/(x + p) + q$?
What is the effect of a on the shape and quadrants of the graph of y = a/(x + p) + q?
What is the effect of a on the shape and quadrants of the graph of y = a/(x + p) + q?
What is the vertical asymptote of the graph of y = a/(x + p) + q?
What is the vertical asymptote of the graph of y = a/(x + p) + q?
What is the effect of a horizontal shift on the graph of y = a(x + p)^2 + q?
What is the effect of a horizontal shift on the graph of y = a(x + p)^2 + q?
What is the effect of a negative value of $a$ on the graph of $y = a(x + p)^2 + q$?
What is the effect of a negative value of $a$ on the graph of $y = a(x + p)^2 + q$?
What is the horizontal shift of the graph of $y = a(x + 2)^2 + q$?
What is the horizontal shift of the graph of $y = a(x + 2)^2 + q$?
What is the vertical shift of the graph of $y = ax^2 + 3$?
What is the vertical shift of the graph of $y = ax^2 + 3$?
What is the effect of a positive value of $q$ on the graph of $y = ax^2 + q$?
What is the effect of a positive value of $q$ on the graph of $y = ax^2 + q$?
What is the equation of the axis of symmetry of the graph of $y = a(x + p)^2 + q$?
What is the equation of the axis of symmetry of the graph of $y = a(x + p)^2 + q$?
What happens to the graph of $y = ax^2 + q$ when $a$ becomes smaller?
What happens to the graph of $y = ax^2 + q$ when $a$ becomes smaller?
What is the turning point of the graph of $y = ax^2 + q$ when $a > 0$ and $q < 0$?
What is the turning point of the graph of $y = ax^2 + q$ when $a > 0$ and $q < 0$?
What is the effect of a horizontal shift on the graph of $y = a(x + p)^2 + q$?
What is the effect of a horizontal shift on the graph of $y = a(x + p)^2 + q$?
What is the effect of a change in p on the graph of y = a/(x + p) + q?
What is the effect of a change in p on the graph of y = a/(x + p) + q?
What is the equation of the vertical asymptote of the graph of y = a/(x + p) + q?
What is the equation of the vertical asymptote of the graph of y = a/(x + p) + q?
What is the effect of a change in q on the graph of y = a/(x + p) + q?
What is the effect of a change in q on the graph of y = a/(x + p) + q?
What is the range of the function y = ab^x + q?
What is the range of the function y = ab^x + q?
What is the effect of a change in a on the graph of y = ab^x + q?
What is the effect of a change in a on the graph of y = ab^x + q?
What is the equation of the horizontal asymptote of the graph of y = ab^(x+p) + q?
What is the equation of the horizontal asymptote of the graph of y = ab^(x+p) + q?
What is the domain of the function y = a/(x + p) + q?
What is the domain of the function y = a/(x + p) + q?
What is the effect of a change in p on the graph of y = ab^(x+p) + q?
What is the effect of a change in p on the graph of y = ab^(x+p) + q?
What is the axis of symmetry of the hyperbola y = a/(x + p) + q?
What is the axis of symmetry of the hyperbola y = a/(x + p) + q?
What is the range of the function y = a/(x + p) + q?
What is the range of the function y = a/(x + p) + q?
What is the effect of a on the shape of the graph of y = a tan θ?
What is the effect of a on the shape of the graph of y = a tan θ?
What is the period of the graph of y = tan kθ when k = 2?
What is the period of the graph of y = tan kθ when k = 2?
What is the asymptote of the graph of y = tan θ?
What is the asymptote of the graph of y = tan θ?
What is the effect of p on the graph of y = tan(θ + p)?
What is the effect of p on the graph of y = tan(θ + p)?
What is the domain of the graph of y = tan kθ?
What is the domain of the graph of y = tan kθ?
What is the range of the graph of y = tan kθ?
What is the range of the graph of y = tan kθ?
What is the y-intercept of the graph of y = tan kθ?
What is the y-intercept of the graph of y = tan kθ?
What is the effect of k on the period of the graph of y = tan kθ?
What is the effect of k on the period of the graph of y = tan kθ?
What is the expression for the average gradient of a curve between two points A(x_A, y_A) and C(x_C, y_C)?
What is the expression for the average gradient of a curve between two points A(x_A, y_A) and C(x_C, y_C)?
What is the effect of the parameter $k$ on the period of the function $y = \sin k heta$?
What is the effect of the parameter $k$ on the period of the function $y = \sin k heta$?
What is the effect of a on the shape of the graph of the hyperbolic function y = a/x + q?
What is the effect of a on the shape of the graph of the hyperbolic function y = a/x + q?
What is the range of the function $y = a \sin heta + q$?
What is the range of the function $y = a \sin heta + q$?
What is the axis of symmetry of the graph of the quadratic function y = a(x + p)^2 + q?
What is the axis of symmetry of the graph of the quadratic function y = a(x + p)^2 + q?
What is the effect of a horizontal shift on the graph of y = a(x + p)^2 + q?
What is the effect of a horizontal shift on the graph of y = a(x + p)^2 + q?
What is the effect of the parameter $a$ on the amplitude of the function $y = a \sin heta$?
What is the effect of the parameter $a$ on the amplitude of the function $y = a \sin heta$?
What is the turning point of the quadratic function y = a(x + p)^2 + q?
What is the turning point of the quadratic function y = a(x + p)^2 + q?
What is the $y$-intercept of the graph of $y = \cos heta$?
What is the $y$-intercept of the graph of $y = \cos heta$?
What is the effect of q on the graph of the quadratic function y = a(x + p)^2 + q?
What is the effect of q on the graph of the quadratic function y = a(x + p)^2 + q?
What is the effect of the parameter $p$ on the graph of $y = \cos( heta + p)$?
What is the effect of the parameter $p$ on the graph of $y = \cos( heta + p)$?
What is the period of the function $y = \cos k heta$?
What is the period of the function $y = \cos k heta$?
What is the domain of the quadratic function y = a(x + p)^2 + q?
What is the domain of the quadratic function y = a(x + p)^2 + q?
What is the domain of the function $y = \cos k heta$?
What is the domain of the function $y = \cos k heta$?
What is the effect of a on the shape of the graph of the quadratic function y = a(x + p)^2 + q?
What is the effect of a on the shape of the graph of the quadratic function y = a(x + p)^2 + q?
What is the $x$-intercept of the graph of $y = \sin heta$?
What is the $x$-intercept of the graph of $y = \sin heta$?
What is the range of the quadratic function y = a(x + p)^2 + q?
What is the range of the quadratic function y = a(x + p)^2 + q?
What is the equation of the axis of symmetry of the quadratic function y = a(x - p)^2 + q?
What is the equation of the axis of symmetry of the quadratic function y = a(x - p)^2 + q?
What is the effect of the parameter $a$ on the shape of the graph of $y = a \cos heta$?
What is the effect of the parameter $a$ on the shape of the graph of $y = a \cos heta$?
What is the minimum turning point of the graph of $y = \cos heta$?
What is the minimum turning point of the graph of $y = \cos heta$?
What is the effect of the parameter $a$ on the graph of $y = ax^2 + q$ when $a$ and $q$ are both negative?
What is the effect of the parameter $a$ on the graph of $y = ax^2 + q$ when $a$ and $q$ are both negative?
What happens to the graph of $y = a(x + p)^2 + q$ when $p$ is positive and $a$ is negative?
What happens to the graph of $y = a(x + p)^2 + q$ when $p$ is positive and $a$ is negative?
What is the axis of symmetry of the graph of $y = a(x + p)^2 + q$ when $a$ and $q$ are both positive?
What is the axis of symmetry of the graph of $y = a(x + p)^2 + q$ when $a$ and $q$ are both positive?
What happens to the graph of $y = ax^2 + q$ when $a$ becomes smaller and $q$ is negative?
What happens to the graph of $y = ax^2 + q$ when $a$ becomes smaller and $q$ is negative?
What is the effect of the parameter $p$ on the graph of $y = a(x + p)^2 + q$ when $p$ is negative and $a$ is positive?
What is the effect of the parameter $p$ on the graph of $y = a(x + p)^2 + q$ when $p$ is negative and $a$ is positive?
What is the turning point of the graph of $y = ax^2 + q$ when $a$ and $q$ are both positive?
What is the turning point of the graph of $y = ax^2 + q$ when $a$ and $q$ are both positive?
What happens to the graph of $y = a(x + p)^2 + q$ when $a$ becomes larger and $p$ is negative?
What happens to the graph of $y = a(x + p)^2 + q$ when $a$ becomes larger and $p$ is negative?
What is the effect of the parameter $q$ on the graph of $y = ax^2 + q$ when $a$ and $q$ are both negative?
What is the effect of the parameter $q$ on the graph of $y = ax^2 + q$ when $a$ and $q$ are both negative?
What is the effect of k on the period of the function y = tan kθ?
What is the effect of k on the period of the function y = tan kθ?
What is the domain of the function y = tan kθ?
What is the domain of the function y = tan kθ?
What is the effect of a on the shape of the graph of y = a tanθ?
What is the effect of a on the shape of the graph of y = a tanθ?
What is the effect of q on the graph of y = a tanθ + q?
What is the effect of q on the graph of y = a tanθ + q?
What is the equation of the asymptote of the graph of y = tanθ?
What is the equation of the asymptote of the graph of y = tanθ?
What is the x-intercept of the graph of y = tanθ?
What is the x-intercept of the graph of y = tanθ?
What is the effect of p on the graph of y = tan(θ + p)?
What is the effect of p on the graph of y = tan(θ + p)?
What is the period of the function y = tanθ?
What is the period of the function y = tanθ?
What is the range of the function y = tanθ?
What is the range of the function y = tanθ?
What is the effect of a on the y-intercept of the graph of y = a tanθ?
What is the effect of a on the y-intercept of the graph of y = a tanθ?
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