Question

What conic section is represented by the equation `(y-2)^2/16-x^2/4=1`?

Answer 1

This is the equation for a hyperbola.

The center is (2,0).

`a^2=16`
`a=4`

`b^2=4`
`b=2`

Asymptotes:
`y=+-4/2x=+-2x`