Answer
See graph and explanations.
Work Step by Step
Step 1. Graph the function $f(x)=x^{1/3}$, shown as the blue curve in the figure.
Step 2. To obtain the graph of function $g(x)=-(2x)^{1/3}$, stretch the original vertically by a factor of 2, and then reflect the result around the x-axis (shown as the red curve in the figure).