Question

Hurry please !!!

Answer 1

Answer:

The translation corresponds to : $g(x)=\sqrt[3]{x-4}$

which is the first option in your list of possible answers

Step-by-step explanation:

Notice that this new function's graph responds to a horizontal translation to the right of the original graph of $f(x)=\sqrt[3]{x}$. Notice that the crossing of the x-axis, which for f(x) is at the origin (0, 0), has now moved to the point (4,0), which means a translation to the right in exactly 4 units.

Recall that horizontal translations are performed by subtracting from the independent variable  (x) , the number of units you move (in this case 4)

Therefore the new function should look like:

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