Cubic Function Transformations Review

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation that occurred.

h(x) = f(x) + 2

• up 2 units

• left 2 units

• Vertical Strech

• right 2 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which of the following is the graph of  $y=-\left(x-4\right)^3+2$  

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation that occurred.

w(x) = f(x - 7)

• Down 7

• Up 7

• Right 7

• vertical compression

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation that occurred

m(x) = f(x + 1)

• Left 1 Unit

• Right 1 unit

• vertical stretch

• up 1 unit

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

• $y=-\left(x-1\right)^3+4$

• $y=\left(x-1\right)^3+4$

• $y=-\left(x+1\right)^3+4$

• $y=\left(x+1\right)^3+4$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

Describe the transformation that occurred

k(x) = f(x) - 9

• vertical compression

• Down 9 units

• Left 9 units

• Right 9 Units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

  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.HSA.APR.A.1

CCSS.HSA.REI.D.11