You can
put this solution on YOUR website!(x+1)^2 + (y+4)^2 = 81
the center of this circle should be at (x,y) = (-1,-4).
Graph of your equation seems to confirm that.
In order to graph, you need to solve for y.
the solved equation is:
y = -4 +/- sqrt(81-(x+1)^2)
It looks like your original equation is in the form of (x-h)^2 + (y-k)^2 = r^2 where:
h = x coordinate of the center of the circle.
k = y coordinate of the center of the circle.
r = the radius of the circle.