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

Sep 28, 2014

This is the equation for a hyperbola.

The center is (2,0).

${a}^{2} = 16$
$a = 4$

${b}^{2} = 4$
$b = 2$

Asymptotes:
$y = \pm \frac{4}{2} x = \pm 2 x$