Question

The function g(x) is a transformation of the cube root parent function,f(3) = y1. What function is g(x)?5-(x)OA g(2) = 7x +4-3B. g(x) = Vx+3 - 4Ο Ο ΟC. g(x) = v= - 3 - 4D. g(x) = y2 - 4-3

Answer 1

Answer::

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

Explanation:

The parent function is given as:

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

Observe that the graph of g(x) is shifted by 4 units to the right and 3 units down:

4 units to the right give:

$\sqrt[3]{x-4}$

Next, a shift by 3 units down gives:

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

The correct choice is D.