# How do you know which conic section you are graphing when it is written in general form?

$A {x}^{2} + B x + C {y}^{2} + D y + E = 0$
when either $A$ or $C$ is missing (i.e $A = 0$ or $C = 0$), you're dealing with a parabola.
when $A$ and $C$ has the same signs, you're dealing with either an ellipse or a circle. If $A$ and $C$ have the same value, you're dealing with a circle. Otherwise, you're dealing with an ellipse
when $A$ and $C$ have different signs, you're dealing with a hyperbola