Answer
Graph "F" is the correct sketching.
Work Step by Step
For $y = \vert x - 2 \vert,$
when $x = 2, y = 0$ and $x = 0, y = 2$
The curve passes through $(2,0)$ and $(0,2)$
Since the graph of $y=\vert x-2 \vert$ is the same as the graph of $y=\vert x \vert$ but with a horizontal translation of 2 units to the right, graph "F" is the correct sketching.