Cubic Transformation

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

What is the X-INTERCEPT of the graph?

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

Write the equation for a cubic function that has been vertically compressed by a factor of 3, vertically shifted 5 units down, and horizontally shifted 7 units left.

Mathematical Equivalence

OFF

Tags

CCSS.HSF.BF.B.3

• Stretch

• Compress

• x-axis

• y-axis

• Right

• Left

• Up

• Down

Tags

CCSS.HSF.BF.B.3

Match the following

• Vertical stretch

• (x-2)³

• Vertical translation 2 up

• 2x³

• Horizontal translation 2 left

• (x+2)³

• Horizontal translation 2 right

• x³ + 2

• Vertical compress

• 0.2x³

Tags

CCSS.HSA.APR.C.4

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

Name the parent function.

• linear

• quadratic

• cube root

• cubic

Which of the following is the graph of y = (x – 1)³ – 7?

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3