Solutions:
1). \((x-5)^2 +(y +2)^2 = 12\)
Center is at \((5, -2)\) and the radius is \(2\sqrt{3}\)
2. \((x- 4)^2 + (y – 12)^2 = 16\)
Center at \((4, 12)\) and radius is 4
3) \((x+2)^2 + (y + 3)^2 = 25\)
Center is at \((-2, -3)\) and the radius is 5
It should be much easier to graph a circle using center-radius form since those two pieces of information are all that are needed to draw a circle.