Draw the graph and find the equation of the hyperbola if the transverse axis of the hyperbola is parallel to the y-axis, the vertices of the hyperbola are on a rectangle with vertices (-2, 2), (-2, –1), (6, -1), and (6, 2), and the diagonals of the rectangle are on the asymptotes of the hyperbola.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Draw the graph and find the equation of the
hyperbola if
the transverse axis of the hyperbola is
parallel to the y-axis, the vertices of the
hyperbola are on a rectangle
with vertices (-2, 2), (-2, –1), (6, -1),
and (6, 2), and the diagonals of the
rectangle are on the asymptotes of the
hyperbola.
Transcribed Image Text:Draw the graph and find the equation of the hyperbola if the transverse axis of the hyperbola is parallel to the y-axis, the vertices of the hyperbola are on a rectangle with vertices (-2, 2), (-2, –1), (6, -1), and (6, 2), and the diagonals of the rectangle are on the asymptotes of the hyperbola.
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