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Conic Equations

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(x-h)^2+(y-k)^2=r^2
circle
((x-h)^2/a^2)+((y-k)^2/b^2)=1
horizontal ellipse
((x-h)^2/b^2)+((y-k)^2/a^2)=1
vertical ellipse
((x-h)^2/a^2)-((y-k)^2/b^2)=1
horizontal hyperbola
((x-h)^2/b^2)-((y-k)^2/a^2)=1
vertical hyperbola
x-h=(1/4p)(y-k)^2
horizontal parabola
y-k=(1/4p)(x-h)^2
vertical parabola