This is a free lesson from our course in Algebra II
This lesson explains how to calculate asymptotes of
conic sections and
graph it.
If a
hyperbola has x axis as a major axis and y
as minor axis
then equation of the hyperbola is
x2/a2
- y2/b2 = 1,
where (0, 0) is the center of hyperbola. The equation of the asymptotes are
y =
(b/a)
x
For example, the asymptotes of the hyperbola 9x2 - 16y2
= 144 are given by
y =
(b/a)x(More text below video...)
(Continued from above) Remember hyperbolas are the only conic sections with asymptotes. Even though hyperbolas and parabolas are similar, parabolas are formed by distance from a point and the distance to a line being the same. Therefore parabolas don't have asymptotes.
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(b/a)
x