Answer
$f(x)=(x-13)^3$
Work Step by Step
Since the shape of the graph is a $f(x) = x^3$ we will start with that function:
$f(x)=x^3$
The transformation is 13 units right. Remember that shifts to the left or right are done inside of the function and that left or right transformations have an opposite sign so that left shifts are positive and right shifts are negative.
$f(x)=(x-13)^3$