Answer
Transformations of the parent function $f(x)=|x|$:
(1) horizontal shift of $4$ units to the right; and
(2) vertical shift of $2$ units upward.
Work Step by Step
RECALL:
The graph of $y=|x-h|+k$ involves the following tranformations of the parent function $f(x)=|x|$:
(1) a horizontal shift ($h$ units to the right when $h\gt0$, $|h|$ units to the left when $h\lt0$); and
(2) a vertical shift ($k$ units upward when $k\gt0$, $|k|$ units downward when $k\lt0$).
The given function has $h=4$ and $k=-2$.
Thus, its graph involves the following transformations of the parent function $f(x)=|x|$:
(1) horizontal shift of $4$ units to the right; and
(2) vertical shift of $2$ units upward.