Cube and Square Root Transformations

Describe the transformations.

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

Select ALL transformations for the function

• Shift right 6

• Shift left 6

• Reflect over the x-axis

• Shift down 4

Which graph represents the function?

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Which graph represents the function?

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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

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

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

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What is the Domain of ALL Cube Root Functions in interval notation?

• (−∞,∞)

• −∞<x<∞

• (−∞,0]

• All Cube Root Functions are different.

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

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