Answer
See graph
Work Step by Step
We are given the function:
$h(x)=\sqrt{-x}-2$
We start graphing with the basic function $a(x)=\sqrt x$.
We reflect $a(x)$ about the $y$-axis to get $b(x)=\sqrt{-x}$.
Then we vertically shift $b(x)$ 2 units downward to get $h(x)=\sqrt{-x}-2$.
We use 3 points: $(-4,0),(-1,-1),(0,-2)$.