Answer
See graph and explanations.

Work Step by Step
Step 1. Graph the function $f(x)=x^{\frac{1}{3}}$ shown as the blue curve in the figure.
Step 2. To obtain the curve of function $g(x)=(-x-2)^{\frac{1}{3}}=(-(x+2))^{\frac{1}{3}}$, shift the original curve horizontally 2 units to the left, then reflect the result around $x=-2$, shown as the red curve.