Quadratic Transformation

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

• Wider

• Narrower

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

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

Match the description to its equation.
Reflected over the x-axis 
Stretched by a factor of 2

• A

• B

• C

• D

Which equation would shift the quadratic function 3 units left and 4 units up?