Answer
$f(x)=x^3+5$
Work Step by Step
Given the standard function, $
f(x)=x^3
$, the equation of the graph that shifts upward will have a positive constant added to the equation. Hence, a shift of $5$ units up will have the equation,
\begin{array}{l}\require{cancel}
f(x)=x^3+5
.\end{array}