What is the vertex for g(x)=(x-3)+22

Step-by-step explanation:

I think you meant g(x) = (x - 3)^2 + 22.

Compare this to    y - k = m(x - h)^2 (vertex form of the equation of a parabola)

and notice that k = 22 and h = 3.  Therefore, the vertex is at (h, k), which here is (3, 22).