. Find the center and radius of the circle given by x2 + 6x + y2 – 2y = -1. Then graph the circle.

Answer 1

x^2 + 6x + 9 + y^2 -2y + 1 = -1 +1 +9 = 9

(x+3)^2 + (y-1)^2 = 3^2

center is (-3,1), radius = 3

when you graph it, top of the circle is (-3,4), bottom of the circle is (-3,-2)

right side of the circle is (0, 1) left side is (-6,1)