The general equation of a conic

can tell you the kind of conic it defines even when

. The following rule applies:

Let

, then the equation defines

an ellipse if

.

a parabola if

.

a hyperbola if

.

Tell what kind of conic each equation represents. On your

__own graph paper__, graph each function by solving for

. (

*Hint*: To do this, you may need the quadratic formula, regarding

as the variable and

as part of the coeffiecient of

.

**(a)** **Conic:** hyperbola

**y=** ________________

**(b)** **Conic:** ellipse

**y=** ________________

**(c)** **Conic:** parabola

**y=** ________________