Question 671161
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Hi,
conic Forms:
Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}} 
Hyperbola opening Up and down is: {{{(y-k)^2/b^2 - (x-h)^2/a^2 = 1}}}
Hyperbola opening right and  left is: {{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}}
Parabola opening up(a>0) or down(a<0), {{{y=a(x-h)^2 +k}}} 
Parabola opening right(a>0) or left(a<0), {{{x=a(y-k)^2 +h}}}
x^2+4x+y^2-12y=-24
(x+2)^2 + (y-6)^2 = -24 + 4 + 36
{{{(x+2)^2 + (y-6)^2 = 16}}} Circle