Plug x = 0 into f(x) to get
f(x) = 2^x
f(0) = 2^0
f(0) = 1
The y intercept (0,1) is on the graph of f(x).
The y intercept for the red curve shown is (0,3). It has been moved up two units compared to (0,1)
Therefore, g(x) = f(x)+2 where g(x) represents the red curve.
g(x) = f(x) + 2
is the answer