Answer:
Step-by-step explanation:
f(x) = 4^x
g(x) = f(x -1) + 3
g(x) = 4^(x - 1) + 3
See the diagram that is below.
Red line: f(x) = 4^x
Blue line: g(x) = f(x - 1) + 3
The graph has been transformed so that f(x) moves upwards by 3 unitsw to get to g(x)
Furthermore, if x = 0 the y intercept for f(x) = 1
If x = 0 then g(x) moves up 3 spaces by virtue of the 3, and and up another 1/4 because the first term becomes 4^-1 = 1/4. This 1/4 gets added to the 3 to give 3 1/4
