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).