Answer
False
Work Step by Step
RECALL:
The function $f(x) = (x-h)^3$ involves a horizontal shift of :
(i) $h$ units to the right of the parent function $y=x^3$ if $h\gt0$;
(ii) $|h|$ units to the left of the parent function $y=x^3$ if $h \lt0$
The given function has $h=2$.
Thus, it involves a 2-unit shift of the right of parent function $y=x^3$.
Therefore, the given statement is false.