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 $g(x)=(x+2)^{1/3}-1$, shift the original horizontally 2 units to the left, then shift the result 1 unit down (shown as the red curve in the figure).