Answer
The following is the graph of $f(x)$.
Work Step by Step
The parent function of $f(x)=x^3+2$ is $g(x)=x^3$.
We have $f(x)=g(x)+2$.
It describes that the graph of $f(x)$ is obtained by shifting up the function of $g(x)$ by 2 units.
Sketch the graph of $f(x)=x^3+2$: