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An equation of a hyperbola is given. x² - y² = 1 16 64 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (x, y) = ( (smaller x-value) (x, y) = ( (x, y) = ( (x, y) = ( vertex vertex focus focus asymptotes (c) Sketch a graph of the hyperbola. y (b) Determine the length of the transverse axis. -10 -5 -10 10 -5 -10 (larger x-value) 10 (smaller x-value) (larger x-value) -10 5 10 X O -10 -5 y 10 -5 -10 ** 5 10 -10 -5 y 10 5 -10 10 5 10 X X

An equation of a hyperbola is given. x² - y² = 1 16 64 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (x, y) = ( (smaller x-value) (x, y) = ( (x, y) = ( (x, y) = ( vertex vertex focus focus asymptotes (c) Sketch a graph of the hyperbola. y (b) Determine the length of the transverse axis. -10 -5 -10 10 -5 -10 (larger x-value) 10 (smaller x-value) (larger x-value) -10 5 10 X O -10 -5 y 10 -5 -10 ** 5 10 -10 -5 y 10 5 -10 10 5 10 X X

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 7E
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An equation of a hyperbola is given. x²²=1 64 一 16 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) vertex (x, y) = ( (smaller x-value) vertex focus focus asymptotes (x, y) = (x, y) = (x,y) = ( | (c) Sketch a graph of the hyperbola. (b) Determine the length of the transverse axis. -10 -5 y X 5 10 -10 -5 ** *Kr y 10 5 X -10 -5 5 10 -10 (larger x-value) 10 (smaller x-value) -10 (larger x-value) -10 -5 y 10 5 -10 y 10 5 -5 -10 5 5 10 10 X X
Transcribed Image Text:An equation of a hyperbola is given. x²²=1 64 一 16 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) vertex (x, y) = ( (smaller x-value) vertex focus focus asymptotes (x, y) = (x, y) = (x,y) = ( | (c) Sketch a graph of the hyperbola. (b) Determine the length of the transverse axis. -10 -5 y X 5 10 -10 -5 ** *Kr y 10 5 X -10 -5 5 10 -10 (larger x-value) 10 (smaller x-value) -10 (larger x-value) -10 -5 y 10 5 -10 y 10 5 -5 -10 5 5 10 10 X X
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