Answer
Graph "H" is the correct sketching.
Work Step by Step
For $y = \sqrt{x−3} + 2,$
when $x = 3, y = 2$
The curve passes through $(3,2)$
Since the graph of $y=\sqrt{x−3}+2$ is the same as the graph of $y=\sqrt{x}$ but with a horizontal translation of 3 units to the right and a vertical translation of 2 units up, graph "H" is the correct sketching.