Answer
A
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 $y=\sqrt{x-2}-4=f(x-2)-4,$
whose graph is obtained by
1. translating the graph of f(x) right by 2 units.
then,
2. translating down by 4 units.
(graph A)