Polynomial Transformations

Which equation describes the transformation of shifting f(x)=x³ three units left?

• x³ + 3

• x³ - 3

• (x + 3)³

• (x - 3)³

Which equation describes the transformation of shifting f(x)=x³ two units right?

• x³ + 2

• x³ - 2

• (x + 2)³

• (x - 2)³

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

• Reflects across y-axis, shifts right 2 units, and shifts down 1 unit 

• Reflects across x-axis, shifts right 2 units, and shifts up 1 unit
  

• Reflects across y-axis, shifts left 2 units, and shifts up 1 unit

• Reflects across x-axis, shifts left 2 units, and shifts down 1 unit
  

Describe the transformation of the graph  y = - ½(x + 4)³ - 1

• Left 4 and Down 1

• Reflected x-axis, Down 1, Left 4, Shrink by 1/2

• Reflected x-axis, Down 1, Left 4, Stretch by 1/2

• Reflected x-axis, Up 1, Right 4, Shrink by 1/2

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

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

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

What are the following transformations:

g(x) = (x-5)³ - 4

• Shifted right 5 and down 4

• Shifted left 5 and down 4

• Shifted left 5 and up 4

• Shifted right 5 and up 4