Quadratic Transformations Reflections

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

Name the parent function.

• linear

• quadratic

• absolute value

• exponential

Match the equation to its description.

• Stretched by 2 and up 4

• Compressed by 2 and up 4

• Stretched by 2 and left 4

• Compressed by 2 and left 4

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

• Wider

• Narrower

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

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4

a indicates a ​ (a)   over the x-axis.

-a (opens ​ (b)   .)

+a (opens ​ (c)   .)

• Reflection

• Down

• Up

• Vertical

• Horizontal

• Left

• Right

If f(x) is the red graph and g(x) is the blue graph, what transformation changes f(x) to g(x)?

• translation

• rotation

• reflection

• vertical stretch

Describe the transformation from the parent function to h(x).

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

• Wider

• Narrower