Answer
See graph and explanations.
Work Step by Step
Step 1. Graph the function $f(x)=x^3$, shown as the blue curve in the figure.
Step 2. To obtain the curve of function $h(x)=\frac{1}{2}(x-3)^3-2$, shift the original curve horizontally 3 units to the right, then shrink the result vertically by a factor of 2, and finally shift the result vertically 2 units down (shown as the red curve).
