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