Question

The graph of h(x) is a translation of f(x) = x.Which equation represents h(x)?Oh(x) = 3x - 27X-6Oh(x) = 3x + 254on(x) = 3 - 23he2(-1,1)Oh(x) = x + 2++6 7 x12345|-7 -6 -5 442-11(-3,-1) -2-4-546

Answer 1

The graph of the function:

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

is shown below:

Analyzing the graph of g(x) we notice that it is the translation of the function y four units to the right; this type of translation is given by:

$g(x-c)$

Therefore we conclude that in this case the expression for g is:

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

and the answer is the first option.