Answer:
y = (x-3)^2 -16
Explanation:
y = x^2 -6x-7
We need to complete the square
b= -6
b/2 = -6/2 = -3
(b/2) ^2 = (-3)^2 =9
Add 9 then subtract 9 to balance the equation
y = x^2 -6x +9 -9 -7
y = (x^2 -6x+9) -16
The terms in parentheses is (x-b/2)^2
y = (x-3)^2 -16
This is in vertex form
The vertex is (3,-16)