Find the vertices and foci of the hyperbola. 4x² - y² - 24x - 2y + 31 = 0 vertices smaller x-value larger x-value foci smaller x-value larger x-value Sketch its graph. (x, y) = -4 -2 (x, y) (x, y) = (x, y) Find the asymptotes of the hyperbola. (Enter your answers as a comma-separated list of equations.) 2 4 8 10 X 10 8 W 4

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section: Chapter Questions
Problem 3T
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Find the vertices and foci of the hyperbola.
4x² - y² - 24x - 2y + 31 = 0
vertices
smaller x-value
larger x-value
foci
smaller x-value
larger x-value
Sketch its graph.
-4 -2
(x, y) =
(x, y) =
Find the asymptotes of the hyperbola. (Enter your answers as a comma-separated list of equations.)
5
y
(x, y) =
(x, y) =
2 4
8
10
X
y
10
8
H
2
Transcribed Image Text:Find the vertices and foci of the hyperbola. 4x² - y² - 24x - 2y + 31 = 0 vertices smaller x-value larger x-value foci smaller x-value larger x-value Sketch its graph. -4 -2 (x, y) = (x, y) = Find the asymptotes of the hyperbola. (Enter your answers as a comma-separated list of equations.) 5 y (x, y) = (x, y) = 2 4 8 10 X y 10 8 H 2
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