Identify the vertex of g(x) = (x+10)^2+2

(-10, 2)

Step-by-step explanation:

Compare:

g(x) = (x+10)^2+2

f(x)  = (x - h)^2 + k

Matching these up, term by term, we see that h = -10 and k = 2.  (h, k) represents the vertex of the parabola f(x)  = (x - h)^2 + k.

We conclude that the vertex of this parabola is (-10, 2).