How to graph xy = -8?

Alexander Lyons

Alexander Lyons

Answered question

2023-03-18

How to graph x y = - 8 ?

Answer & Explanation

uwafundebz3v

uwafundebz3v

Beginner2023-03-19Added 8 answers

You can get this rectangular hyperbola by rotating the
rectangular hyperbola x y = 8 about the origin through a right 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 x 0 , y ± and when y 0 , x ± .
The points that are closest to the center C at the origin are the
vertices V ( 2 2 , - 2 2 ) and V ( - 2 2 , 2 2 ) .
The eccentricity e = 2 , for a rectangular hyperbola.
The transverse axis length 2a = 8.
The foci are at S ( 4 , - 4 ) and S ( - 4 , 4 ) .

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