Answer: The correct option is (C). (2, -5).
Step-by-step explanation: The given function is
The vertex form of the function g(x) is
We know that if the vertex form of a function f(x) is written as
then its vertex is (h, k).
So, from equation (i), we can say that the vertex of function g(x) is
(2, -5).
Thus, (C) is the correct option.