The function f(x) = x2 − 12x + 5 written in vertex form is f(x) = (x − 6)2 − 31. what are the coordinates of the vertex? (6, 31) (−6, 31) (6, −31) (−6, −31)

-  C is the right answer. The coordinates of the vertex = (h,k) = (6, −31).

Explanation:-

Given standard form :-

and its vertex form :- [which derived from the completing the square form.]

On comparing with the vertex form of equation in parabola =

Then the coordinates of the vertex = (h,k) = (6, −31)