Cubic Function Transformations Review

Which g(x) function results in this graph?

• f(x)=x^3
  g(x)=f(x-3)-1

• f(x)=x^(1/3)
  g(x)=f(x-3)-1

• f(x)=x^3
  g(x)= - f(x-3)-1

• f(x)=x^(1/3)
  g(x)= - f(x-3)-1

Tags

CCSS.HSF.BF.B.3

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

• 3 units right, 2 units up, reflected across the y-axis

• 3 units right, 2 units up, reflected across the x-axis

• 3 units left, 2 units up, reflected across the y-axis

• 3 units left, 2 units up, reflected across the x-axis

Tags

CCSS.HSF.BF.B.3

Which of the following is the equation of the cubic function graphed above

What is the equation for the red function?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

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

• vertical shrink by a factor of 1/4,translation down 2 units

• vertical shrink by a factor of 1/4,translation right 2 units

• vertical stretch by a factor of 1/4,translation down 2 units

• vertical stretch by a factor of 1/4,translation right 2 units

Tags

CCSS.HSF.BF.B.3

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1

• reflect over x, horizontal compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

Match the following

• Vertical translation 2 up

• 2x³

• Horizontal translation 2 left

• (x+2)³

• Horizontal translation 2 right

• 0.2x³

• Vertical compress

• x³ + 2

• Vertical stretch

• (x-2)³

Tags

CCSS.HSA.APR.C.4

Tags

CCSS.HSF.BF.B.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

Tags

CCSS.HSF.BF.B.3

• Stretch

• Compress

• x-axis

• y-axis

• Right

• Left

• Up

• Down

Tags

CCSS.HSF.BF.B.3