Question

Given `g(x)=e^x +3`, how do you describe the transformation?

Answer 1

`g(x)=e^x+3` is a translation of `e^x` by the vector `((0),(3))`

Explanation:

In general

`f(x+a)+b` is a translation of `f(x)` by the vector `((-a),(b))`

so `g(x)=e^x+3` is a translation of `e^x` by the vector `((0),(3))`