Quadratic Functions and Transformations

Which of the following is the correct equation for the given graph?

• f(x) = -(x + 2)² - 4

• f(x) = -(x - 2)² - 4

• f(x) = -3(x - 2)² - 4

• f(x) = -3(x + 2)² - 4

Tags

CCSS.HSF-IF.C.7A

If red represents y = x², which equation represents black?

• y = 7x²

• y = -7x²

• y = -(1/7)x²

• y = -5x²

Describe the transformation of y = (x - 4)²

• Shift UP

• Shift DOWN

• Shift LEFT

• Shift RIGHT

Describe the transformation of y = x² + 4

• Shift UP

• Shift DOWN

• Shift LEFT

• Shift RIGHT

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

• Wider

• Narrower

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

• Wider

• Narrower

How did we transform from the parent function?
y = x² + 2

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

In the graph of the function y=x², which describes a vertical shift in the parent function up 5 units?

• y = x² - 5

• y = x² + 5

• y = (x - 5)²

• y = (x + 5)²

Match the equation to its description.

• Reflected over x and stretched by 3

• Stretched by 3

• Reflected over x

• Reflected over x and up 3

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