Answer:
g(x) = 3 + tan(πx/4)
Step-by-step explanation:
A tangent function has a period of π. In order to make it have a period of 4, it needs to be stretched horizontally by a factor of 4/π. A function is stretched horizontally by a factor of k by replacing x with x/k.
In order for the function to be shifted vertically up by 3 units, 3 must be added to the function value. That is, the transformed function becomes ...
g(x) = tan(x/(4/π)) +3
g(x) = tan(πx/4) +3
