what is the vertex of g(x) = f(x-2)

Answer 1

The equation g(x) = f(x-2) means that g(x) is the same as f(x) except that every point is moved two units to the right. So wherever the vertex is in f(x) (you didn't tell us what f(x) is), then it's two units to the right along the x-axis in g(x).