## Podcast Beta

## Questions and Answers

What is the formula for the two-point form of a straight line equation?

What is the definition of the gradient of a line?

What is the purpose of the gradient-point form of a straight line equation?

What is the standard form of the straight line equation?

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What information is required to use the two-point form of a straight line equation?

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What is the value of c in the equation y = mx + c?

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What is the relationship between the gradient-point form and the two-point form of a straight line equation?

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What is the advantage of using the gradient-intercept form of a straight line equation?

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What is the angle of inclination for a horizontal line?

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What is the relationship between the gradient and the y-intercept of a line?

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What is the tangent of the angle of inclination for a line with a gradient of -0.5?

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What is the equation form used when given two points on a line?

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What is the measure of the steepness of a line?

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What is the characteristic of parallel lines?

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What is the purpose of the point-slope form of a line?

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What is the relationship between the gradient and the inclination of a line?

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What is the inclination of a line with a gradient of 0?

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What is the characteristic of a vertical line?

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What is the condition for two lines to be parallel?

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What is the relationship between the gradients of two perpendicular lines?

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What is the effect of q on the graph of y = ax^2 + q?

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What is the effect of a on the graph of y = ax^2 + q?

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What is the domain of the function f(x) = ax^2 + q?

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What is the range of the function f(x) = ax^2 + q when a > 0?

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What is the equation of the axis of symmetry of the graph of y = a(x + p)^2 + q?

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What is the effect of p on the graph of y = a(x + p)^2 + q?

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What is the condition for the graph of y = ax^2 + q to be a 'frown'?

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What happens to the graph of y = ax^2 + q when a = 0?

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What is the range of a quadratic function when a < 0?

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How do you find the y-intercept of a quadratic function?

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What is the turning point of the quadratic function f(x) = a(x + p)^2 + q?

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What is the axis of symmetry of the quadratic function f(x) = a(x + p)^2 + q?

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How do you shift the graph of a quadratic function m units to the right?

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What is the formula to find the average gradient of a curve between two points?

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What is the general form of a hyperbolic function?

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What is the effect of q on the graph of a hyperbolic function?

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What is the effect of a on the shape of a hyperbolic function?

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What is the vertical asymptote of a hyperbolic function?

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What is the period of the function y = sinθ?

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What is the effect of q on the graph of y = asinθ + q?

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What is the maximum value of the function y = sinθ?

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What is the range of the function y = sin(kθ)?

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What is the effect of k on the period of the function y = sin(kθ)?

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What is the effect of p on the graph of y = sin(θ + p)?

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What is the period of the function y = cosθ?

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What is the y-intercept of the function y = cosθ?

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What is the effect of a on the amplitude of the function y = acosθ?

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What is the effect of k on the period of the function y = cos(kθ)?

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What is the period of the tangent function?

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What is the effect of q on the graph of y = a tan(θ) + q?

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What is the range of the tangent function?

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What is the effect of k on the period of the function y = tan(kθ)?

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What is the formula for the area of a circle?

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What is the formula for the area of a triangle?

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What is the definition of a right prism?

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What is the effect of p on the graph of the function y = tan(θ + p)?

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What is the formula for the area of a trapezium?

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What is the formula for the circumference of a circle?

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What is the effect of a change in parameter p on the graph of y = a/(x + p) + q?

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What is the equation of the vertical asymptote of y = a/(x + p) + q?

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What is the effect of a change in parameter q on the graph of y = a/(x + p) + q?

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What is the equation of the horizontal asymptote of y = a/(x + p) + q?

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What is the point of intersection of the axes of symmetry of y = a/(x + p) + q?

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What is the effect of a change in parameter a on the graph of y = ab^x + q?

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What is the effect of a change in parameter p on the graph of y = ab^(x + p) + q?

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What is the domain of y = ab^(x + p) + q?

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What is the range of y = ab^(x + p) + q when a > 0?

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What is the horizontal asymptote of y = ab^(x + p) + q?

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What is the total area of the exposed or outer surfaces of a prism?

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How many rectangles are there in a rectangular prism unfolded into a net?

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What is the formula for the volume of a triangular prism?

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What is the formula for the surface area of a cylinder?

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What is the formula for the volume of a sphere?

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What is the formula for the surface area of a right cone?

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What happens to the surface area and volume when one or more dimensions of a prism or cylinder is multiplied by a constant factor?

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What is the formula for the volume of a square pyramid?

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What is the formula for the surface area of a triangular pyramid?

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What is the formula for the volume of a right cone?

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What is the formula for the surface area of a right prism?

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If we multiply all three dimensions of a rectangular prism by a constant factor k, what is the effect on the volume?

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What is the formula for the surface area of a sphere?

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If we multiply one dimension of a rectangular prism by a constant factor k, what is the effect on the volume?

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What is the formula for the volume of a triangular prism?

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If we multiply two dimensions of a rectangular prism by a constant factor k, what is the effect on the volume?

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What is the formula for the surface area of a right cone?

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If we multiply all three dimensions of a rectangular prism by a constant factor k, what is the effect on the surface area?

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What is the formula for the volume of a cylinder?

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What is the formula for the surface area of a triangular pyramid?

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In a cyclic quadrilateral, what can be said about the opposite angles?

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What is the relationship between the exterior angle of a cyclic quadrilateral and the interior opposite angle?

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What is the tangent-chord theorem?

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What can be said about two tangents drawn from the same point outside a circle?

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What is the angle at the center of a circle when subtended by a chord?

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What is the relationship between equal chords of a circle?

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What is the relationship between a diameter and the circle?

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When a line segment subtends equal angles on the same side, what can be said about the four points?

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Which equation form is used when the gradient and a point on the line are known?

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What is the value of y when x = 0 in the equation y = mx + c?

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Which equation form is also known as the standard form of the straight line equation?

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What is the name of the form derived from the definition of gradient and the two-point form?

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What information is required to use the gradient-point form of a straight line equation?

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What is the relationship between the gradient and the y-intercept of a line in the equation y = mx + c?

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What is the equation of the line that passes through two points (x_1, y_1) and (x_2, y_2)?

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What is the advantage of using the gradient-intercept form of a straight line equation?

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What is the relationship between the gradient of a line and the angle of inclination?

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What is the condition for two lines to be parallel?

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What is the equation form used when given a gradient and a point on a line?

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What is the angle of inclination for a vertical line?

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What is the formula for the gradient of a line?

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What is the significance of the y-intercept in the equation of a line?

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What is the formula for finding the equation of a line parallel to a given line and passing through a specific point?

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What is the characteristic of a line with a negative gradient?

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What is the relationship between the gradient and the inclination of a line for obtuse angles?

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What is the purpose of the point-slope form of a line?

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What is the condition for two lines to be perpendicular?

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Given a line with equation y = mx + c, what does the gradient m represent?

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What is the effect of a positive value of q on the graph of y = ax^2 + q?

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What is the equation of the axis of symmetry of the graph of y = a(x + p)^2 + q?

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What is the range of the function f(x) = ax^2 + q when a < 0?

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What is the effect of a negative value of p on the graph of y = a(x + p)^2 + q?

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What is the characteristic of the graph of y = ax^2 + q when a > 0?

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What is the effect of a on the shape of the graph of y = ax^2 + q?

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What is the turning point of the quadratic function f(x) = a(x + p)^2 + q?

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What is the domain of the function f(x) = ax^2 + q?

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What is the effect of p on the graph of y = a/(x + p) + q?

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What is the domain of the function y = a/(x + p) + q?

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What is the horizontal asymptote of the function y = a/(x + p) + q?

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What are the axes of symmetry of the hyperbola y = a/(x + p) + q?

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What is the effect of q on the graph of y = ab^x + q?

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What is the effect of a on the graph of y = ab^x + q?

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What is the turning point of the function f(x) = a(x + p)^2 + q?

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What is the range of the function y = ab^x + q when a > 0?

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What is the effect of p on the graph of y = ab^(x + p) + q?

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If a < 0, what is the range of the function f(x) = ax^2 + q?

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How do you find the y-intercept of a quadratic function?

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What is the domain of the function y = ab^(x + p) + q?

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What is the axis of symmetry of the function f(x) = a(x + p)^2 + q?

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What is the horizontal asymptote of the function y = ab^(x + p) + q?

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What is the effect of p on the graph of y = a(x + p)^2 + q?

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What is the average gradient of a curve between two points A(x_A, y_A) and C(x_C, y_C)?

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What is the effect of a > 0 on the graph of y = ax^2 + q?

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What is the effect of q on the graph of a hyperbolic function?

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What is the general form of a hyperbolic function?

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What is the vertical asymptote of a hyperbolic function?

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What is the amplitude of the function y = sinθ?

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What is the effect of a on the amplitude of the function y = acosθ?

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What is the period of the function y = sin(kθ)?

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What is the effect of p on the graph of y = sin(θ + p)?

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What is the x-intercept of the function y = cosθ?

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What is the range of the function y = cos(kθ)?

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What is the effect of q on the graph of y = acosθ + q?

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What is the maximum value of the function y = cosθ?

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What is the y-intercept of the function y = sinθ?

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What is the domain of the function y = coskθ?

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In a cyclic quadrilateral, what is the relationship between the opposite angles?

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What is the angle between a tangent to a circle and a chord drawn from the point of contact equal to?

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What is the formula for the surface area of a rectangular prism?

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If the dimensions of a rectangular prism are multiplied by a factor k, what is the effect on the volume?

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What is the length of two tangents drawn from the same point outside a circle?

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What is the formula for the volume of a triangular prism?

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What is the angle at the center of a circle when subtended by a chord?

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What can be said about the angles on a circle subtended by the same arc?

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What is the formula for the surface area of a sphere?

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What is the characteristic of a diameter in a circle?

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What is the effect on the surface area of a rectangular prism if its dimensions are multiplied by a factor k?

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What is the formula for the volume of a cylinder?

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What can be said about the perpendicular bisector of a chord?

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What is the relationship between equal chords in a circle?

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What is the formula for the area of a circle?

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What is the formula for the volume of a cone?

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What is the formula for the surface area of a triangular pyramid?

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What is the formula for the volume of a sphere?

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What is the total area of the exposed or outer surfaces of a prism?

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What is the formula to calculate the volume of a triangular prism?

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What is the surface area of a sphere?

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What is the formula to calculate the volume of a right cone?

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What happens to the surface area and volume of a prism or cylinder when one or more dimensions are multiplied by a constant factor?

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What is the formula to calculate the surface area of a rectangular prism?

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What is the formula to calculate the volume of a cube?

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What is the formula to calculate the surface area of a triangular pyramid?

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What is the formula to calculate the volume of a sphere?

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What is the formula to calculate the surface area of a right cone?

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What is the period of the function y = tan(kθ)?

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What is the effect of a on the shape of the function y = a tan(θ)?

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What is the y-intercept of the function y = tan(θ)?

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What is the effect of p on the graph of the function y = tan(θ + p)?

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What is the domain of the function y = tan(kθ)?

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What is the formula for the area of a trapezium?

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What is the formula for the area of a circle?

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What is the formula for the circumference of a circle?

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What is the definition of a right prism?

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What is the characteristic of parallel lines?

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What is the primary purpose of the gradient-point form of a straight line equation?

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Given a line with a gradient of 3 and passing through the point (2, 5), what is the equation of the line in gradient-intercept form?

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What is the relationship between the gradient and y-intercept of a line in gradient-intercept form?

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Given two points (3, 4) and (5, 6), what is the equation of the line passing through these points in two-point form?

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What is the primary advantage of using the gradient-intercept form of a straight line equation?

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What is the equation of the line passing through the point (2, 3) with a gradient of -2?

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What is the relationship between the gradient of a line and its steepness?

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Given a line with a gradient of 1/2 and passing through the point (4, 3), what is the equation of the line in gradient-intercept form?

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What is the relationship between the gradient and the inclination of a line?

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What is the inclination of a line with a gradient of -2?

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What is the equation of a line that is parallel to the line y = 2x + 3 and passes through the point (1, 4)?

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What is the characteristic of parallel lines?

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What is the angle of inclination of a vertical line?

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What is the relationship between the gradient and the y-intercept of a line?

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What is the effect of a negative gradient on the angle of inclination?

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What is the purpose of the point-slope form of a line?

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What is the range of the function f(x) = a(x+p)^2 + q if a < 0?

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What is the effect of shifting the graph of y = a(x+p)^2 + q m units to the left?

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What is the relationship between the gradient and the inclination of a horizontal line?

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What is the condition for two lines to be parallel?

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What is the axis of symmetry of the graph of f(x) = a(x+p)^2 + q?

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What is the formula to find the average gradient of a curve between two points A(x_A, y_A) and C(x_C, y_C)?

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What is the relationship between the gradients of two lines that are perpendicular to each other?

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What is the effect of q on the graph of a hyperbolic function y = a/x + q?

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What is the effect of a on the shape of a hyperbolic function y = a/x + q if a > 1?

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What is the effect of p on the graph of y = a(x + p)^2 + q?

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What is the vertical asymptote of a hyperbolic function y = a/x + q?

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What is the characteristic of a quadratic function with a > 0?

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What is the effect of q on the graph of y = ax^2 + q?

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What is the average gradient of a curve between points A(a, g(a)) and Q(a + h, g(a + h))?

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What is the axis of symmetry of the graph of y = a(x + p)^2 + q?

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What is the effect of h on the average gradient formula?

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What is the general form of a hyperbolic function?

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What is the range of a quadratic function with a < 0?

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What is the relationship between the gradient of a line and its inclination?

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What is the effect of a on the shape of the graph of y = ax^2 + q?

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What is the domain of the function f(x) = ax^2 + q?

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What is the turning point of the quadratic function f(x) = a(x + p)^2 + q?

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What is the effect of p on the graph of y = a/(x+p) + q?

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What is the range of the function y = a/(x+p) + q?

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What is the vertical asymptote of the function y = a/(x+p) + q?

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What is the axes of symmetry of the function y = a/(x+p) + q?

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What is the effect of q on the graph of y = ab^x + q?

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What is the range of the function y = ab^(x+p) + q?

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What is the effect of p on the graph of y = ab^(x+p) + q?

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What is the domain of the function y = ab^(x+p) + q?

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What is the effect of a on the shape of the function y = ab^(x+p) + q?