Answer
B
Work Step by Step
Use the table on page 62 (Translations and Reflections)
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If $f(x)=\sqrt{x}$, with whose graph we are familiar,
then
$y=\sqrt{-x-2}-4=\sqrt{-(x+2)}-4-4$
$=f[-(x+2)]-4,$
whose graph is obtained by
1. reflecting the graph of f(x) about the y axis,
then,
2. translating left by 2 units,
and then
3. translating down by 4 units.
(graph B)