Cube Root Transformations

Identify the Transformations. 

• Vertical stretch by 2 and down 4
• Horizontal compression by ½ and down 4
• Vertical stretch by 2 and up 4
• Horizontal compression by ½ and right 4

Tags

CCSS.HSF.BF.B.3

What kind of function is represented by the graph?

• Cube Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

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

What is the center point of the function?

• (5,-1)
• (5,1)
• (-5,-1)
• (-5,1)

Tags

CCSS.HSF.BF.B.3

What is the a-value of the function?

• 2
• 8
• -8
• -2

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

• Translate Left 4, Translate Up 7

• Translate Right 4, Translate Up 7

• Translate Left 4, Translate Down 7

• Translate Right 4, Translate Down 7

Tags

CCSS.HSF.BF.B.3

• Vertical Compress by 10, Translate Right 10

• Vertical Compress by 3, Translate Down 10

• Reflection, Translate Up 10

• Reflection, Translate Down 10

Tags

CCSS.HSF.BF.B.3

• Vertical Stretch by 4, Translate Right 2, Translate Up 6

• Vertical Compress by 4, Translate Right 2, Translate Down 6

• Vertical Stretch by 4, Translate Left 2, Translate Down 6

• Vertical Stretch by 3, Translate Left 4, Translate Up 4

Tags

CCSS.HSF.BF.B.3

The graph of the parent cube root function has been translated so that its center point is (4,-1) What is the equation?

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Tags

CCSS.HSF-IF.C.7B