The graph of f(x) = 2x is shown on the grid.
the graph of g(x) = (1/2)x is the graph of f(x) = 2x reflected over the y-axis. which graph represents g(x)?

  see below

Step-by-step explanation:

Oddly enough, it is the one that with f(x) reflected over the y-axis. All points on the graph are mirrored across that axis (x is changed to -x, y is left alone).

When a graph gets reflected over y-axis it means that a horizontal reflection reflects a graph horizontally over the y-axis.

The graph of is shown on the grid.

The graph of  is the graph of f(x) reflected over the y-axis.

For x= 0 ,

For x= 1 ,

For x= 2 ,

i.e. graph of g(x) passes through (-1,2) , (0,1) , (1,0.5) , (2,0.25)

From all the given graph , the correct graph is shown below .

It is showing the exact mirror-image of the given graph across y-axis and it is passing through the(-1,2) , (0,1) , (1,0.5) , (2,0.25) .