# How do you classify xy = 4?

Jan 8, 2016

$x y = 4$ is a hyperbola that has been rotated 45˚.

graph{xy=4 [-22.35, 23.27, -10.32, 12.49]}

It is a rotation of the hyperbola ${x}^{2} / 8 - {y}^{2} / 8 = 1$.

graph{x^2/8-y^2/8=1 [-32, 32.96, -15.16, 17.33]}