18. Find the equation of a hyperbola with center (-1,4), vertices (-1, –3) and (-1,11), and foci (-1,5) and (-1,13). What are the equations of the asymptotes? 19. Find the equation of a hyperbola with foci (-2, 2) and (4, 2) that passes through the point (3, 2). What are the equations of the asymptotes?

18. Find the equation of a hyperbola with center (-1,4), vertices (-1, –3) and (-1,11), and foci (-1,5) and (-1,13). What are the equations of the asymptotes? 19. Find the equation of a hyperbola with foci (-2, 2) and (4, 2) that passes through the point (3, 2). What are the equations of the asymptotes?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 33E

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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.
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 ( __, __ ).
Find the standard form of the equation of the hyperbola with vertices (0,3) and asymptotes y=32x

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