How do you find the vertex of y = -|x-7|+9?

$\left(7 , 9\right)$
$y = - | x - 7 | + 9$
is of the general form $y = a \cdot | x - h | + k$ where the vertex is $\left(h , k\right)$ so, by inspection, the vertex of the given function is $\left(7 , 9\right)$.