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Questions and Answers
What is the domain of a quadratic function?
What is the domain of a quadratic function?
- {x : x ∈ ℝ} (correct)
- {x : x ∈ ℝ, x ≥ 0}
- {x : x ∈ ℝ, x ≠ -p}
- {x : x ∈ ℝ, x ≤ 0}
What is the range of a quadratic function when a > 0?
What is the range of a quadratic function when a > 0?
- {y : y ≥ q, y ∈ ℝ} (correct)
- {y : y ∈ ℝ}
- {y : y ≠ q, y ∈ ℝ}
- {y : y ≤ q, y ∈ ℝ}
How do you find the y-intercept of a quadratic function?
How do you find the y-intercept of a quadratic function?
- Set x = p
- Set x = 0 (correct)
- Set y = 0
- Set y = q
What is the turning point of the quadratic function f(x) = a(x + p)^2 + q?
What is the turning point of the quadratic function f(x) = a(x + p)^2 + q?
What is the axis of symmetry of the quadratic function f(x) = a(x + p)^2 + q?
What is the axis of symmetry of the quadratic function f(x) = a(x + p)^2 + q?
How do you shift the graph of a parabola m units to the right?
How do you shift the graph of a parabola m units to the right?
What is the equation of a parabola that passes through the points (x1, 0) and (x2, 0)?
What is the equation of a parabola that passes through the points (x1, 0) and (x2, 0)?
What is the equation of a parabola that has a turning point (p, q) and passes through the point (r, s)?
What is the equation of a parabola that has a turning point (p, q) and passes through the point (r, s)?
What is the effect of $q$ on the graph of $y = ax^2 + q$?
What is the effect of $q$ on the graph of $y = ax^2 + q$?
What is the effect of $a$ on the graph of $y = ax^2 + q$ when $a > 0$?
What is the effect of $a$ on the graph of $y = ax^2 + q$ when $a > 0$?
What is the effect of $p$ on the graph of $y = a(x + p)^2 + q$?
What is the effect 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 type of graph does $y = ax^2 + q$ represent when $a > 0$?
What type of graph does $y = ax^2 + q$ represent when $a > 0$?
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 $y = ax^2 + q$ when $a$ gets closer to 0?
What happens to the graph of $y = ax^2 + q$ when $a$ gets closer to 0?
What type of graph does $y = a(x + p)^2 + q$ represent when $a < 0$?
What type of graph does $y = a(x + p)^2 + q$ represent when $a < 0$?
What is the effect of a negative value of q on the graph of y = ax^2 + q?
What is the effect of a negative value of q on the graph of y = ax^2 + q?
What happens to the graph of y = a(x + p)^2 + q when the value of p increases?
What happens to the graph of y = a(x + p)^2 + q when the value of p increases?
What is the shape of the graph of y = ax^2 + q when a is negative?
What is the shape of the graph of y = ax^2 + q when a is negative?
What is the turning point of the graph of y = a(x + p)^2 + q when a is positive?
What is the turning point of the graph of y = a(x + p)^2 + q when a is positive?
What happens to the graph of y = ax^2 + q when the value of a gets closer to 0?
What happens to the graph of y = ax^2 + q when the value of a gets closer to 0?
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 turning point of the graph of y = a(x + p)^2 + q when a is negative?
What is the turning point of the graph of y = a(x + p)^2 + q when a is negative?
What happens to the graph of y = a(x + p)^2 + q when the value of a gets smaller?
What happens to the graph of y = a(x + p)^2 + q when the value of a gets smaller?
What is the effect of shifting the equation of a parabola y = ax^2 + q, q units down?
What is the effect of shifting the equation of a parabola y = ax^2 + q, q units down?
What is the form of the axis of symmetry for the graph of y = a(x + p)^2 + q?
What is the form of the axis of symmetry for 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 turning point of the graph of y = a(x - p)^2 + q?
What information is required to find the equation of a parabola in the form y = a(x - x1)(x - x2)?
What information is required to find the equation of a parabola in the form y = a(x - x1)(x - x2)?
What is the effect of shifting the equation of a parabola y = ax^2, m units to the left?
What is the effect of shifting the equation of a parabola y = ax^2, m units to the left?
What is the form of the equation of a parabola that has a turning point (p, q) and passes through the point (r, s)?
What is the form of the equation of a parabola that has a turning point (p, q) and passes through the point (r, s)?
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 is the effect of shifting the equation of a parabola y = a(x + p)^2 + q, n units up?
What is the effect of shifting the equation of a parabola y = a(x + p)^2 + q, n units up?
What is the effect of increasing the value of $p$ on the graph of $y = a(x + p)^2 + q$?
What is the effect of increasing the value of $p$ on the graph of $y = a(x + p)^2 + q$?
What is the shape of the graph of $y = ax^2 + q$ when $a$ is negative?
What is the shape of the graph of $y = ax^2 + q$ when $a$ is negative?
What is the effect of decreasing the value of $a$ on the graph of $y = a(x + p)^2 + q$?
What is the effect of decreasing the value of $a$ 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 $q$ on the graph of $y = ax^2 + q$ when $q > 0$?
What is the effect of $q$ on the graph of $y = ax^2 + q$ when $q > 0$?
What is the effect of increasing the value of $a$ on the graph of $y = ax^2 + q$?
What is the effect of increasing the value of $a$ on the graph of $y = ax^2 + q$?
What is the turning point of the graph of $y = a(x + p)^2 + q$ when $a > 0$?
What is the turning point of the graph of $y = a(x + p)^2 + q$ when $a > 0$?
What is the effect of decreasing the value of $q$ on the graph of $y = ax^2 + q$?
What is the effect of decreasing the value of $q$ on the graph of $y = ax^2 + q$?
What is the range of the quadratic function f(x) = a(x + p)^2 + q if a < 0?
What is the range of the quadratic function f(x) = a(x + p)^2 + q if a < 0?
If the graph of a quadratic function has a turning point at (-2, 3), what is the corresponding equation of the quadratic function in the form f(x) = a(x + p)^2 + q?
If the graph of a quadratic function has a turning point at (-2, 3), what is the corresponding equation of the quadratic function in the form f(x) = a(x + p)^2 + q?
What is the effect of shifting the graph of y = ax^2 + q, 2 units to the right?
What is the effect of shifting the graph of y = ax^2 + q, 2 units to the right?
What is the equation of a parabola that has x-intercepts at 2 and 4, and passes through the point (3, 5)?
What is the equation of a parabola that has x-intercepts at 2 and 4, and passes through the point (3, 5)?
If the graph of a quadratic function has a y-intercept at (0, 2), what is the corresponding equation of the quadratic function in the form f(x) = a(x + p)^2 + q?
If the graph of a quadratic function has a y-intercept at (0, 2), what is the corresponding equation of the quadratic function in the form f(x) = a(x + p)^2 + q?
What is the effect of shifting the equation of a parabola y = ax^2, 3 units down?
What is the effect of shifting the equation of a parabola y = ax^2, 3 units down?
What is the axis of symmetry of the graph of y = a(x + 2)^2 + 3?
What is the axis of symmetry of the graph of y = a(x + 2)^2 + 3?
What is the equation of a parabola that passes through the points (1, 0) and (3, 0), and has a turning point at (2, 4)?
What is the equation of a parabola that passes through the points (1, 0) and (3, 0), and has a turning point at (2, 4)?
What is the effect of a large value of a on the graph of y = ax^2 + q?
What is the effect of a large value of a on the graph of y = ax^2 + q?
What is the effect of p on the turning point of the graph of y = a(x + p)^2 + q?
What is the effect of p on the turning point of the graph of y = a(x + p)^2 + q?
What is the effect of q on the graph of y = ax^2 + q when q is negative?
What is the effect of q on the graph of y = ax^2 + q when q is negative?
What is the shape of the graph of y = ax^2 + q when a is positive?
What is the shape of the graph of y = ax^2 + q when a is positive?
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 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 increasing the value of p on the graph of y = a(x + p)^2 + q?
What is the effect of increasing the value of p on the graph of y = a(x + p)^2 + q?
What is the effect of decreasing the value of a on the graph of y = ax^2 + q?
What is the effect of decreasing the 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 = 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 equation of a parabola that has a turning point at (-1, 2) and passes through the point (0, 4)?
What is the equation of a parabola that has a turning point at (-1, 2) and passes through the point (0, 4)?
What is the axis of symmetry of the graph of y = a(x - 2)^2 + 3?
What is the axis of symmetry of the graph of y = a(x - 2)^2 + 3?
What is the range of the quadratic function f(x) = -(x + 1)^2 - 2?
What is the range of the quadratic function f(x) = -(x + 1)^2 - 2?
What is the effect of shifting the equation of a parabola y = a(x + p)^2 + q, m units to the left?
What is the effect of shifting the equation of a parabola y = a(x + p)^2 + q, m units to the left?
What is the turning point of the graph of y = -(x - 1)^2 - 2?
What is the turning point of the graph of y = -(x - 1)^2 - 2?
What is the equation of a parabola that has x-intercepts at -2 and 4, and passes through the point (1, 3)?
What is the equation of a parabola that has x-intercepts at -2 and 4, and passes through the point (1, 3)?
What is the range of the quadratic function f(x) = (x + 2)^2 - 3?
What is the range of the quadratic function f(x) = (x + 2)^2 - 3?
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