Hi there!
The general form of the equation of a circle is the following:
[tex](x - a) {}^{2} + (y - b) {}^{2} = r {}^{2} [/tex]
In this formula the a represents the x-coordinate of th centre and b represents the y-coordinate of the centre. In the given formula, the point (a, b) is therefore the centre. The r represents the radius of the circle.
When we know this, we can plug in the given centre and radius. Our answer is:
[tex](x + 8) {}^{2} + (y - 3) {}^{2} = 64[/tex]
The correct answer is C.
~ Hope this helps you!
