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.

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.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter7: Conic Sections

Section7.3: Hyperbolas

Problem 3E: The graph of the equation x2a2+y2b2=1 with a > 0, b > 0 is a hyperbola with ____...

See similar textbooks

Similar questions

A hyperbola is the set of all points in the plane for which the ___ of the distances from two fixed points F1 and F2 is constant. The points F1 and F2 are called the ___ of the hyperbola.
Find the standard form of the equation of the hyperbola with vertices (0,3) and asymptotes y=32x
By definition, a hyperbola is the locus of points whose positive difference of distances from two fixed points F1 and F2 called foci is constant. In the grid provided, find points whose difference of distances from points F15, 0 and F2-5, 0 is 6. That is, locate some points for which PF1-PF2=6 or PF2-PF1=6; point P3, 0 is one such point. Then sketch the hyperbola.
The graph of the equation x2a2+y2b2=1 with a > 0, b > 0 is a hyperbola with ____ (horizontal/vertical) transverse axis, vertices ( __, __ ) and ( __, __ ) and foci (0,c) , where c = ___. So the graph of x242y232=1 is a hyperbola with vertices ( __, __ ) and ( __, __ ) and foci ( __, __ ) and ( __, __ ).