Answer
(c)
Work Step by Step
The graph of $y=f(2x)$ is obtained by compressing the graph of $y=f(x).$
We achieve this by multiplying the x-coordinates (of the points of the graph of f) with $\displaystyle \frac{1}{2}:$
$(4,2)\displaystyle \rightarrow(\frac{1}{2}\cdot 4,2)=(2,2),$
choice (c).