An equation of a hyperbola is given. y2 - (x + 8)² = 1 4 (a) Find the center, vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) center (х, у) %3 vertex (х, у) %3D (smaller y-value) vertex (х, у) %3D (larger y-value) focus (х, у) %3D (smaller y-value) focus (х, у) %3 (larger y-value) 1) = asymptotes (b) Sketch a graph showing the hyperbola and its asymptotes.

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 51E: Perpendicular Asymptotes Show that the asymptotes of the hyperbola x2y2=5 are perpendicular to each...
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An equation of a hyperbola is given.
y2 - (x + 8)²
4
= 1
(a) Find the center, vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of
equations.)
center
(х, у) %3D
vertex
(х, у) %3D (
(smaller y-value)
vertex
(х, у) 3D
(larger y-value)
focus
(х, у) %3D
(smaller y-value)
focus
(х, у) 3D
(larger y-value)
asymptotes
(b) Sketch a graph showing the hyperbola and its asymptotes.
Transcribed Image Text:An equation of a hyperbola is given. y2 - (x + 8)² 4 = 1 (a) Find the center, vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) center (х, у) %3D vertex (х, у) %3D ( (smaller y-value) vertex (х, у) 3D (larger y-value) focus (х, у) %3D (smaller y-value) focus (х, у) 3D (larger y-value) asymptotes (b) Sketch a graph showing the hyperbola and its asymptotes.
An equation of a hyperbola is given.
y + 1)2 - x²
36
1
64
(a) Find the center, vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of
equations.)
(х, у) %3D (
center
(x, y) = (
(smaller y-value)
vertex
(х, у) %3D (
(larger y-value)
vertex
(х, у) 3 (
(smaller y-value)
focus
(x, y) = (
(larger y-value)
focus
asymptotes
(b) Sketch a graph showing the hyperbola and its asymptotes.
Transcribed Image Text:An equation of a hyperbola is given. y + 1)2 - x² 36 1 64 (a) Find the center, vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (х, у) %3D ( center (x, y) = ( (smaller y-value) vertex (х, у) %3D ( (larger y-value) vertex (х, у) 3 ( (smaller y-value) focus (x, y) = ( (larger y-value) focus asymptotes (b) Sketch a graph showing the hyperbola and its asymptotes.
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