Which of the following are the coordinates of the vertex y = x^2 + 12x - 9?

Which of the following are the coordinates of the vertex y = x^2 + 12x - 9?

Answer:

y=x2+12x−9

y=x2+12x+36−36−9

y=(x+6)2−45

y+45=(x+6)2

Hence vertex is (−6,−45).