# How do you graph #xy = -8#?

##### 1 Answer

Aug 25, 2016

The graph is a rectangular hyperbola, with the two branches in Q2 and Q4. The asymptotes of the hyperbola are the axes of coordinates.

#### Explanation:

This rectangular hyperbola can be obtained by rotating the

rectangular hyperbola

angle.

In Q2 and Q4, xy < 0. So the branches of the given

rectangular hyperbola lie in Q2 and Q4,

The asymptotes are x = 0 and y =0, so that,

when

The points that are closest to the center C at the origin are the

vertices

The eccentricity e = sqrt 2, for a rectangular hyperbola.

The transverse axis length 2a = 8.

The foci are at