Answer:
A. (2, -3).
Step-by-step explanation:
The first step is to complete the square on the terms in x and the terms in y:
x² - 4x +4 +y² +6y + 9 =4
= (x - 2)² - 4 + (y + 3)² - 9 + 4 + 9 = 4
= = (x - 2)² + (y + 3)² - 9 + 9 - 4 + 4 = 4
= (x - 2)² - (y + 3)² = 4.
So the centre is at (2, -3).
