Asked by Joanie
I have to write the equation of a hyperbola whose center is (0,0) and which has a vertical transverse axis.
The equations of the asymptotes are 6x+2y=0 and 6x-2y=0.
I don't even know where to begin. Could someone help? Thanks.
The equations of the asymptotes are 6x+2y=0 and 6x-2y=0.
I don't even know where to begin. Could someone help? Thanks.
Answers
Answered by
Reiny
first of all I don't see why the asymptotes were not reduced to
3x ± y = 0
work it backwards.
Recall that for
x^2/a^2 - y^2/b^2 = 1 (the general hyperbola)
the asymptotes are bx ± ay = 0
so b=3 and a=1
for a the equation
x^2 - y^2/9 = 1 or
9x^2 - y^2 = 9
3x ± y = 0
work it backwards.
Recall that for
x^2/a^2 - y^2/b^2 = 1 (the general hyperbola)
the asymptotes are bx ± ay = 0
so b=3 and a=1
for a the equation
x^2 - y^2/9 = 1 or
9x^2 - y^2 = 9
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.