Transformations of Cubic Graphs

If the blue graph is the parent function, what is the equation of the red (transformed) function?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

The graph shows the function f(x)=x³ in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = -x³

• g(x) = x³ - 1

• g(x) = (x + 1)³

• g(x) = (x - 1)³

Given the function below - describe the transformation and

give the name of the parent function.

f(x) = -(x - 3)³ + 2

• Cubic

  Right 3

  Up 2

• Cubic

  Reflect

  Right 3

  Up 2

• Cubic

  Reflect

  Left 3

  Up 2

• Quadratic

  Reflect

  Right 3

  Up2

The parent function is indicated by the dotted curve. Determine the correct equation for the function graphed.

• Cubic

  Reflect

  Left 2

  Down 3

• Cube Root

  Reflect

  Right 2

  Down 3

• Cubic

  Reflect

  Right 2

  Down 3

• Cube Root

  Right 2

  Down 3

Which g(x) function results in this graph?

• g(x)=1/2⋅x³+3

• g(x)=2⋅x³-3

• g(x)=1/2⋅x³-3

• g(x)=2⋅x³+3

The graph shows the function f(x)=x³ in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = -x³

• g(x) = x³ - 1

• g(x) = (x + 1)³

• g(x) = (x - 1)³

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

• reflection over the x-axis,vertical compress by a factor of 5

• reflection over the y-axis,vertical compress by a factor of 5

• reflection over the x-axis,vertical stretch by a factor of 5

• reflection over the y-axis,vertical stretch by a factor of 5

Identify the Transformations. 

• Vertical stretch by 2 and down 4

• Horizontal compression by ½ and down 4

• Vertical stretch by 2 and up 4

• Horizontal compression by ½ and right 4