Transformations of Quadratic Functions

Multiple Choice

If the blue is f(x)=x^2, then the red must be

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

Multiple Choice

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x) = x² - 3

• g(x) = x² + 3

• g(x) = (x - 3)²

• g(x) = (x + 3)²

Multiple Choice

The vertex of the quadratic function f(x) in the picture is (-4, 5).

If g(x) = f(x) translated LEFT 2 units , what is the vertex of g(x)?

• (-2, 5)
• (-6, 5)
• (-4, 3)
• (-4, 7)

Multiple Choice

The vertex of the quadratic function f(x) in the picture (2, -2).

If g(x) = f(x) translated DOWN 4 units , what is the vertex of g(x)?

• (2, -6)

• (2, 2)

• (-2, -2)

• (6, -2)

Multiple Choice

Compare the function y = 0.3x² to the parent function y = x²

• Wider

  (Vert. Compress)

• Narrower

  (Vert. Stretch)

Multiple Choice

Compare the function y = 5x² to the parent function y = x²

• Wider

  (Vert. Compress)

• Narrower

  (Vert. Stretch)

Multiple Choice

Match the equation to its description.

• Reflected over x and stretched by 3
• Stretched by 3
• Reflected over x
• Reflected over x and down 3

Multiple Choice

Match the equation to its description.

• Reflected over x, right 2 and up 1
• Reflected over x, left 2 and up 1
• Reflected over x, right 2 and down 1
• Reflected over x, left 2 and down 1

Multiple Choice

Describe the transformation of y = 3(x - 3)² + 3

• Narrow, Right, Up
• Narrow, Left, Down
• Wide, Right, Up
• Wide, Left, Down