Question

Which equation represents g(x)? g (x) = RootIndex 3 StartRoot x 1 EndRoot g (x) = RootIndex 3 StartRoot x minus 1 EndRoot g (x) = Negative RootIndex 3 StartRoot x 1 EndRoot g (x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot.

Answer 1

The equation is $\rm g(x)=\sqrt[3]{x-3} +4$.

We have to determine

Which equation is graphed along with the parent function?

What is parent function?

To put this another way, every function in a family is a transformation of a parent function.

The parent function is a cube root function, represented as:

$\rm f(x)=\sqrt[3]{x}$

First, the parent function is horizontally shifted right by 3 units

The rule of this transformation is:

$\rm (x, \ y) = (x-3, \ y)$

So, we have:

$\rm f'(x)=\sqrt[3]{x-3}$

Next, the transformed function is vertically shifted up by 4 units.

$\rm (x, \ y) = (x,\ y+4)$

The rule of this transformation is:

$\rm g(x)=\sqrt[3]{x-3} +4$

Hence, the equation is $\rm g(x)=\sqrt[3]{x-3} +4$.

To know more about Parent Function click the link given below.

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