Quadratic Functions Review

How does the value of a in the function affect its graph when compared to the quadratic parent function?

g(x) = 20x²

In what way is the graph of g(x) different from the graph of the parent function?

• The graph of g(x) opens upward

• The graph of g(x) opens downward

• The graph of g(x) is narrower

• The graph of g(x) is wider

How does the value of a in the function affect its graph when compared to the quadratic parent function?

g(x) = -0.5x²

In what ways is the graph of g(x) different from the graph of the parent function? Select all that apply.

• The graph of g(x) opens upward

• The graph of g(x) opens downward

• The graph of g(x) is narrower

• The graph of g(x) is wider

Identify the axis of symmetry for the function g(x) = (x - 6)² - 5.

• x = 6

• x = -6

• x = 5

• x = -5

Identify the vertex for the function g(x) = (x - 6)² - 5.

• (6, 5)

• (6, -5)

• (-6, 5)

• (-6, -5)

Which equation could the graph represent?

• y = -3(x + 2)² + 4

• y = -3(x - 2)² + 4

• y = 3(x + 2)² + 4

• y = 3(x - 2)² + 4

What is the y-intercept of the function g(x) = 2x² + 3x + 9 ?

• (0, 2)

• (0, 9)

• (0, 3)

• 9

What is the axis of symmetry of the function g(x) = 2x² + 3x + 9 ?

• x = 9

• x = -0.75

• x = 0.75

• x = -1.5

Find the vertex for the function g(x) = -x² - 2x - 4.

• (-1, -3)

• (-2, -4)

• (-1, -4)

• (1, -5)

Write the quadratic function in standard form.

h(x) = 3(x - 2)² - 2

• h(x) = 3x² - 12x + 10

• h(x) = 3x² - 12x + 12

• h(x) = 3x² - 14

• h(x) = 3x² - 4x - 6

The graph of h is the graph of f(x) = x² translated 4 units right and 3 units up. Which equation could represent function h?

• h(x) = (x + 4)² - 3

• h(x) = (x - 4)² - 3

• h(x) = (x - 4)² + 3

• h(x) = (x + 4)² + 3