The graph of the function f(x) is shown. Which graph represents the function f(2x)

The graph of option D is correct.

When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.

The graph of f(x) is shown,

The graph of f(2x) will be compressed by factor of 2.

Therefore, graph of option D is correct.

The correct graph is attached below.

Learn more:

link

It should be the top left graph  where there is point (1,1) and (-1, -1)  y = 1/x

Step-by-step explanation:

from the original graph, I see:

f(x) =  2/x    because  f(2) = 1 = 2/2

f(1/4)= 2/(1/4) = 2

...

so then  f(2x)  compresses f(x) horizontally by a factor of 2

so f(2x) =  2/(2x) = 1/x