Answer
Graph "A" is the correct sketching.
Work Step by Step
For $y = \sqrt{x-3},$
when $x = 3, y=0$
The curve passes through $(3, 0)$
Since the graph of $y=\sqrt{x-3}$ is the same as the graph of $y=\sqrt{x}$ but with a horizontal translation of 3 units to the right, graph "A" is the correct sketching.