Graphing Quadratic Functions in Vertex Form

What is the general form of a quadratic function in vertex form?

• y = a(x + h)^2 - k

• y = ax^2 + bx + c

• y = a(x - h)^2 + k

• y = ax + b

How do you determine the vertex from the equation y = a(x - h)^2 + k?

• The vertex is (a, k)

• The vertex is (h, a)

• The vertex is (h, k)

• The vertex is (k, h)

What is the axis of symmetry for the function y = (x - 4)^2 - 3?

• x = 4

• y = 4

• x = -4

• y = -3

Why is it important to find additional points on either side of the axis of symmetry?

• To calculate the maximum value

• To find the y-intercept

• To ensure the parabola is symmetrical

• To determine the slope of the line

Which x-values were chosen to create the table of values for the function y = (x - 4)^2 - 3?

• 4, 5, 6

• 3, 2, 1

• 0, -1, -2

• 5, 6, 7

What is the y-value when x = 3 for the function y = (x - 4)^2 - 3?

• 1

• 0

• -2

• 6

How do you use symmetry to find points on the right side of the axis of symmetry?

• Reflect points over the x-axis

• Reflect points over the y-axis

• Reflect points over the origin

• Reflect points over the axis of symmetry

What is the y-value when x = 2 for the function y = (x - 4)^2 - 3?

• -2

• 4

• 1

• 6

What operation is performed first when calculating y for a specific x-value in the function y = (x - 4)^2 - 3?

• Exponentiation

• Addition

• Subtraction

• Multiplication

What is the purpose of revisiting calculations for specific x-values?

• To determine the slope

• To verify the accuracy of plotted points

• To calculate the vertex

• To find the x-intercept