To determine: The equation by choosing two points on the same axis to be the vertices of a hyperbola and similarly choose two another points of same axis to the foci.
The required equations is
Given Information:
Chose two points on the same axis to be the vertices of a hyperbola and similarly choose two another points of same axis to the foci.
Calculation:
Consider the given information,
The vertices of the hyperbola is defined for horizontal as,
And, the foci is defined as,
Suppose that the point of vertices is
Rewrite both the points following,
And,
Compare with the vertices and foci points.
Use the formula
Substitute all the values in general equation of hyperbola
Therefore, the obtained equation is
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education