Answer
$$
f(x)=-\sqrt {2-x}+2=-\sqrt {-(x-2)}+2
$$
Reflect the graph of $f (x)$ vertically and horizontally.
Translate the graph 2 units right and 2 units up.
Work Step by Step
$$
f(x)=-\sqrt {2-x}+2=-\sqrt {-(x-2)}+2
$$
Reflect the graph of $f (x)$ vertically and horizontally.
Translate the graph 2 units right and 2 units up.