Answer
vertex: $(-2, -4)$
$2$ units to the left and $4$ units down
Work Step by Step
RECALL:
The graph of the function $y=|x-h|+k$ has its vertex at $(h, k)$ and involves the following transformations of the parent function $y=|x|$:
(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 up when $k\gt0$, $|k|$ units down when $k\lt0$).
The given function can be written as:
$$y=|x-(-2)|+(-4)$$
Thus, its graph has its vertex at $(-2, -4)$ and involves the following transformations of the parent function $y=|x|$:
(1) $2$ units shift to the left; and
(2) $4$ units down
