Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer does not exist, enter DNE.) 16x2 y264x-8y + 32 = 0 Center: (x, y) = Vertices: smaller x-value (x, y) = larger x-value (x, y) = Foci: smaller x-value (x, y) = larger x-value (x, y) = Asymptotes: negative slope positive slope Sketch the hyperbola using the asymptotes as an aid. y 10 y 10 5 X x 5 10 40 -5 5 10 10 5 -10 Type here to search SCHWEIGER ThinkCentre WITH: Karen Gordon, M.D. David Bonney, D.O David Lipson, MD. Cindy Li, D.O Aliza Gabay, PA-C Isita Patel, PA-C Jennifer Gal, PA-C Anita Fox, PA-C 10 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 40E
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Question
Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer does not exist, enter DNE.)
16x2 y264x-8y + 32 = 0
Center: (x, y) =
Vertices:
smaller x-value
(x, y) =
larger x-value
(x, y) =
Foci:
smaller x-value
(x, y) =
larger x-value
(x, y) =
Asymptotes:
negative slope
positive slope
Sketch the hyperbola using the asymptotes as an aid.
y
10
y
10
5
X
x
5
10
40
-5
5
10
10
5
-10
Type here to search
SCHWEIGER
ThinkCentre
WITH: Karen Gordon, M.D.
David Bonney, D.O
David Lipson, MD.
Cindy Li, D.O
Aliza Gabay, PA-C
Isita Patel, PA-C
Jennifer Gal, PA-C
Anita Fox, PA-C
10
5
Transcribed Image Text:Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer does not exist, enter DNE.) 16x2 y264x-8y + 32 = 0 Center: (x, y) = Vertices: smaller x-value (x, y) = larger x-value (x, y) = Foci: smaller x-value (x, y) = larger x-value (x, y) = Asymptotes: negative slope positive slope Sketch the hyperbola using the asymptotes as an aid. y 10 y 10 5 X x 5 10 40 -5 5 10 10 5 -10 Type here to search SCHWEIGER ThinkCentre WITH: Karen Gordon, M.D. David Bonney, D.O David Lipson, MD. Cindy Li, D.O Aliza Gabay, PA-C Isita Patel, PA-C Jennifer Gal, PA-C Anita Fox, PA-C 10 5
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