Chapter 10 - Radical Functions and Equations - 10.2 - Graphing Cube Root Functions - Exercises - Page 555: 33

The translation should be at the right.

The graph of the function $f(x)=\sqrt[3]{x-3}$ is obtained by translating the graph of the parent function $3$ units to the right, but the graph shows that the graph of the parent function was translated to the left. So the mistake is graphing the function $f$ on the left instead of the right of the parent function.