Two exponential functions, f and g, are shown in the figure below, where g is a transformation of f.Which of the rules given below shows the transformation of f?A. g(x) = f(x) - 4B. g(x) = f(x - 4)C. g(x) = f(x) + 4D. g(x) = f(x + 4)

The first thing that we must observe for this case is the intersection of the functions with the y axis. We observed that: f (0) = 2 For the function g (x) we have: g (0) = -2 Therefore, we can rewrite g (x) as: g (x) = f (x) - 4 Looking for intersection with axis and we have: g (0) = f (0) - 4 g (0) = 2 - 4 g (0) = -2 (correct demonstration) Answer: The transformation of f (x) is: A. g (x) = f (x) - 4