Question

The graph of g(x) is a translation of y = ³√√x.32g(x)1-10-8--6-4-2₁. 26 8 10LO541Which equation represents g(x)?O g(x) = ³√x-4O g(x) = ³√√x +4○_g(x) = ³√x + 1.5g(x)=√x-1.5

Answer 1

Given the parent cube root function:

`y=\sqrt[3]{x}`

The graph shown is a translation of the parent cube-root function, let's determine the graphed function g(x).

We have the parent cube-root graph below:

We can see the translated function moves 4 units to the right.

Now, to write the function, apply the transformation rules for functions.

After a translation 4 units to the right, the function will be:

`g(x)=\sqrt[3]{x-4}`

Therefore, the equation which represents g(x) is:

`g(x)=\sqrt[3]{x-4}`

ANSWER:

`g(x)=\sqrt[3]{x-4}`