Please revise Completing the Square first...

Our aim is to get the equation into the form: (xh)2 + (yk)2 = r2

We complete the square on the x-related portion and on the y-related portion, at the same time.

math expression

Group the x parts together and the y parts togther:

math expression

Complete the square on each of the x and y parts.

math expression

math expression

This is now in the format we require and we can determine the center and radius of the circle.

So the centre of the circle is (-4, -3) and the radius is 5 units.

math expression

Note that the circle passes through (0, 0). This is logical, since (-4)2 + (-3)2 = (5)2