Transformations of Cubic Functions

What are the transformations?
y=(x-2)³+4

• Horz shift right 2      Vert shift up 4

• Horz shift left 2    Vert shift down 4

• Horz shift right 2      Vert shift down 4

• Horz shift left 2      Vert shift up 4

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  y = -2(x + 5)³ 

• Shrink by 2, Reflected over y-axis, Right 5

• Stretch by 2, Reflected over x-axis, Left 5

• Stretch by 2, Reflected over x-axis, Right 5

• Shrink by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  y = (x)³  + 6

• Right 6

• Left 6

• Up 6

• Down 6

Tags

CCSS.HSF.BF.B.3

Name the parent function.

• cubic

• cube root

• exponential

• quadratic

Describe the transformation of the graph  
y = ½x³

• Vertical compression by 1/2

• Horizontal compression by 1/2

• Vertical stretch by 2

• Horizontal stretch by 2

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  
y = (2x)³

• Vertical compression by 1/2

• Horizontal compression by 1/2

• Vertical stretch by 2

• Horizontal stretch by 2

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph
y = (½x)³

• Vertical compression by 1/2

• Horizontal compression by 1/2

• Vertical stretch by 2

• Horizontal stretch by 2

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  
y = 2x³

• Vertical compression by 1/2

• Horizontal compression by 1/2

• Vertical stretch by 2

• Horizontal stretch by 2

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph
y = -(x - 4)³ + 5

• Up 5 and Left 4

• Reflect x-axis, Left 4, Up 5

• Reflect x-axis, Right 4, Up 5

• Right 4 and up 5

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph
y = (x - 1)³ + 5

• Up 5 and Left 1

• Reflect x-axis, Left 1, Up 5

• Reflect x-axis, Right 1, Up 5

• Right 1 and up 5

Tags

CCSS.HSF.BF.B.3