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 $h(x)=\frac{1}{2}(x+2)^{\frac{1}{3}}-2$, shift the original curve horizontally 2 units to the left, then shrink the result vertically by a factor of 2, and finally shift the result vertically 2 units down, shown as the red curve.
