Question

Determine the center of the circle from the equation.

Answer 1

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).