Answer
Transformations of the parent function $f(x)=|x|$:
(1) horizontal shift of $10$ units to the left; and
(2) vertical shift of $3$ units downward.
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 can be written as:
$$y=|x-(-10)|+(-3)$$
The function has $h=-10$ and $k=-3$.
Thus, its graph involves the following transformations of the parent function $f(x)=|x|$:
(1) horizontal shift of $10$ units to the left; and
(2) vertical shift of $3$ units downward.
