Answer: Option C.
Explanation:
The equation of the line in slope-intercept form is:

Where the slope is "m" and the intersection of the line with the y-axis is "b".
Given the function f(x) in the form
, you can identify that:

This means that the line passes through the origin (0,0)
And from the function g(x) in the form
, , you can identify that:

This means that the line of the function g(x) and the line of the function f(x) have the same slope, but the line of g(x) passes through the point (0,-16)
Therefore, the graph of f(x) must be shifted 16 units down to produce the graph of g(x)