An equation of a hyperbola is given. x2 - y² 16 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (x, y) = (-2,0 (smaller x-value) vertex (x, y) = ( 2, 0 (larger x-value) vertex (x, y) = (| (smaller x-value) focus (x, y) = ( | focus (larger x-value) asymptotes (b) Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.
An equation of a hyperbola is given. x2 - y² 16 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (x, y) = (-2,0 (smaller x-value) vertex (x, y) = ( 2, 0 (larger x-value) vertex (x, y) = (| (smaller x-value) focus (x, y) = ( | focus (larger x-value) asymptotes (b) Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![An equation of a hyperbola is given.
x² - Z = 1
4
16
(a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.)
(х, у) 3 (-2, 0
(smaller x-value)
vertex
(х, у) 3 (| 2, 0
) (larger x-value)
vertex
(x, y) = (|
(smaller x-value)
focus
(x, y) = (
(larger x-value)
focus
asymptotes
(b) Determine the length of the transverse axis.
(c) Sketch a graph of the hyperbola.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c734c57-59a7-4d9d-8214-f673926c3c05%2F967f7e58-9621-40e7-bb7a-067f1de5091a%2Fovezqz_processed.png&w=3840&q=75)
Transcribed Image Text:An equation of a hyperbola is given.
x² - Z = 1
4
16
(a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.)
(х, у) 3 (-2, 0
(smaller x-value)
vertex
(х, у) 3 (| 2, 0
) (larger x-value)
vertex
(x, y) = (|
(smaller x-value)
focus
(x, y) = (
(larger x-value)
focus
asymptotes
(b) Determine the length of the transverse axis.
(c) Sketch a graph of the hyperbola.
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