To do this question you need to complete the square.
To do this, you need to half the coefficient of x, which in this case is 8 and put it in brackets that are squared.
This gives (x+4)^2.
Then you need minus the square of the number in the brackets, so 16.
This gives (x+4)^2-16
Then you do the same for y.
(y-4)^2-16
Then you would add these together and rearrange but it’s not necessary for your question.
The centre is the opposite of what is in the brackets.
So for x, it’s -4 and for y, it’s 4, meaning your answer is C.
