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.
$h(x)=\displaystyle \frac{1}{2}f(x+2),$
so the graph of $h$ (solid red line)
is obtained from the graph of f by
1. shifting it left by 2 units (black, dashed),
then
2. vertically shrinking by factor $\displaystyle \frac{1}{2}$ (solid red line)
Using the above points, $(x,f(x))$
plot the points
$(x-2,\ \displaystyle \frac{1}{2}f(x) )$
and join with a smooth curve.