# What conic section is represented by the equation x^2/9-y^2/4=1?

Oct 7, 2014

Hyperbola.

Circle
${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}$

Ellipses
${\left(x - h\right)}^{2} / {a}^{2} + {\left(y - k\right)}^{2} / {b}^{2} = 1$
${\left(x - h\right)}^{2} / {b}^{2} + {\left(y - k\right)}^{2} / {a}^{2} = 1$

Parabola
$y - k = 4 p {\left(x - h\right)}^{2}$
$x - h = 4 p {\left(y - k\right)}^{2}$

Hyperbola
${\left(x - h\right)}^{2} / {a}^{2} - {\left(y - k\right)}^{2} / {b}^{2} = 1$
${\left(y - k\right)}^{2} / {a}^{2} - {\left(x - h\right)}^{2} / {b}^{2} = 1$