Graphing Cubic and Cube Root Transformations

If f(x) = ∛(x) is reflected over the x-axis, vertically shrunk by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)

• 1/4 ∛(x - 9)

• - 1/4 ∛(x + 9)

• - 1/4 ∛(x - 9)

Tags

CCSS.HSF.BF.B.3

Which of the facts is not true about the graph shown?

• The range is all real numbers.

• The function has been shifted 6 units right.

• The function has been shifted up 1 unit

• The function has been vertically stretched by a factor of 2.

Tags

CCSS.HSF-IF.C.7B

What transformations have occurred to get from the parent function f(x) to the transformed function g(x)?

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

• reflection over the x-axis,vertical shrink by a factor of 1/5

• 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

Tags

CCSS.HSF.BF.B.3

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

• 
• 
• 
• 

What kind of fruits are best for a healthy diet?

• Apples

• Bananas

• Oranges

• Berries

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7B

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)

• 1/4 ∛(x - 9)

• - 1/4 ∛(x + 9)

• - 1/4 ∛(x - 9)

Tags

CCSS.HSF.BF.B.3

• The range is y ≥ 1

• It has been reflected over the y-axis

• The function has been shifted up 1 unit

• The function has been shifted up 2 units

• Shifted to the left 6

Tags

CCSS.HSF-IF.C.7B

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