How do you graph #xy = -8#?
The graph is a rectangular hyperbola, with the two branches in Q2 and Q4. The asymptotes of the hyperbola are the axes of coordinates.
This rectangular hyperbola can be obtained by rotating the
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,
The points that are closest to the center C at the origin are the
The eccentricity e = sqrt 2, for a rectangular hyperbola.
The transverse axis length 2a = 8.
The foci are at