Question

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

Answer 1

Hyperbola.

Circle
`(x - h)^2 + (y - k)^2 = r^2`

Ellipses
`(x - h)^2/a^2 + (y - k)^2/b^2 = 1`
`(x - h)^2/b^2 + (y - k)^2/a^2 = 1`

Parabola
`y - k = 4p(x - h)^2`
`x - h = 4p(y - k)^2`

Hyperbola
`(x - h)^2/a^2 - (y - k)^2/b^2 = 1`
`(y - k)^2/a^2 - (x - h)^2/b^2 = 1`