Answered: Make canonical equations for a…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Make canonical equations for a hyperbola with an imaginary axis equal to 2 and focus F (-√13; 0)

Expert Solution

Step 1

One focus of the hyperbola is given.
From the focus, the hyperbola is right -left facing hyperbola.
The center for right-left facing hyperbola is given by ( h + c, k ) and ( h - c, k ).
The center for the hyperbola is (0,0).
Use ( h - c, k ) to find the value of c.

Step 2

The length of imaginary axis is given as b = 2.
Use this to find the value of real axis a.

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