Graphing Cube Root Functions

Determine which graph matches the given equation.

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Determine which graph matches the given equation.

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Determine which graph matches the given equation.

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Determine which graph matches the given equation.

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When choosing x-values to plot the graph of a cube root function, we choose specific values that will make the ___ a perfect cube.

• radicand

• radical

• index

• radical symbol

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)

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

Describe the transformations of the graph shown. 

• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left. 

• Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left. 

• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right. 

• none of the above.

Which graph represents the function?

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• None of these

Identify the Transformations. 

• Down 2

• Up 2

• Reflection and stretch by 2

• Reflection and down 2