Answer
See graph.
Work Step by Step
Step 1. Recall the basic graph of $y=x^3$ as shown in the figure (red curve).
Step 2. Shrink the curve vertically by a factor of $\frac{1}{2}$, then shift 4 unit down to obtain the graph of $g(x)=\frac{1}{2}x^3-4$ (black curve).