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 right, then reflect the result around $x=2$, shown as the red curve.