Parent Function of Parabolas

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.

• Stretched by 4 and up 4
• Compressed by 4 and up 4
• Stretched by 4 and left 4
• Compressed by 4 and left 4

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

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