The answer is: C.

We want to find the transformation of f(x) that will produce g(x).
We can see that g(x) is always half of f(x). This means that the transformation is a vertical stretch by a factor of 1/2.
In other words, g(x) can be obtained by multiplying f(x) by 1/2:
g(x) = 1/2 * f(x)
This can also be written as:
g(x) = f(x)/2
Therefore, the answer is:
C.

This is the correct answer because it produces the table that matches the table given in the image.