Answer
vertex: $(2, -6)$
Parent function transformations:
$2$ units to the right and $6$ units downward
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 $f(x)=|x|$:
(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 up when $k\gt0$, $|k|$ units down when $k\lt0$);
The given function can be written as:
$$y=|x-2|+(-6)$$
The function has:
$h=2$, and $k=-6$
Thus, its graph has its vertex at $(2, -6)$ and involves the following transformations of the parent function $f(x)=|x|$:
(1) $2$ units shift to the right; and
(2) $6$ units shift downward