Question 572049
standard form of equation of a circle is:
(x-h)^2 + (x-k)^2 = r^2
(h,k) is the center of the circle.
r is the radius.
in your equation, this becomes:
(x+2)^2 + (y+4)^2 = 36
to graph your equation, solve for y to get:
y = +/- sqrt(36 - (x+2)^2) - 4
that graph is shown below:
{{{graph(600,600,-12,12,-12,12,sqrt(36-(x+2)^2)-4,-sqrt(36-(x+2)^2)-4)}}}