Put into circle standard form and determine the center and radius of the circle: x 2 + 6x + y 2 − 3y = −3 − y

Answer 1

complete the square for the x terms and separately for the y terms

x^2 + 6x + 9 + y^2 -2y + 1 = -3 +9 +1

(x+3)^2 + (y-1)^2 = 7

is a circle with center (-3,1), radius = 7