Answer
please see image
.
Work Step by Step
$f(x)=\sqrt[3]{x}=x^{1/3}$
(Using desmos.com) we graph f(x) (blue dashed graph).
By hand, plot the points on the graph of $f(x)$:
(-8,-2), (-1,-1), (0,0), (1,1), (8,2)
and join with a smooth curve.
$g(x)=f(x-2),$
so the graph of $g$ (solid red line)
is obtained from the graph of f by
shifting it right by 2 units (solid red line)
Using the above points, $(x,f(x))$
plot the points
$(x+2$, $f(x) )$
and join with a smooth curve.