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