Answer
See graph and explanations.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/083fa1ed-97e7-4a08-957f-8a8b8d34a5b9/result_image/1581363218.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000749Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=56ea839529531604da36c60c98f769c5b3f342220f3e94f8b1455a4e1e856b7d)
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).