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 $r(x)=(x-2)^3+1$, shift the original curve horizontally 2 units to the right, then shift the result vertically 1 unit up, shown as the red curve.