In general, the greater the slope of a line, the steeper it is.
On the other hand, the slope-intercept form of a line is
Therefore, in our case,
Thus, the slope of g(x) is greater than that of f(x), and g(x) is f(x) shifted 2 units down.
The answer is option C. g(x) is the steeper one, and the y-intercept has been shifted down.