Quadratic Transformations

Identify the vertex of f(x) = 5(x+6)² - 7

• (5,6)

• (0,0)

• (6,-7)

• (-6,-7)

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

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