The equation of the hyperbola and graph of the equation with center
Answer to Problem 6CT
Solution:
The equation of the hyperbola with center
Explanation of Solution
Given information:
The hyperbola has center
The center
Thus, the transverse axis is parallel to the
The distance from the center
The general form of the equation of hyperbola is
Substitute
Since the graph contains the point
Therefore, the equation of the hyperbola is
Now,
The distance from the center to either focus is
The asymptotes are given by the lines
Thus, the asymptotes are
To graph the equation of hyperbola, form a rectangle using the vertices
By using all the above information, the graph of the hyperbola
Chapter 10 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
Glencoe Math Accelerated, Student Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning