Find an equation of the hyperbola in standard form described in each of the following items.  1.) Transverse axis parallel to the x-axis, center at (3,2), a= 3 and b= 4 2.) Center at (-1,1), a focus at (4,1), and a vertex at (3,1) 3.) Vertices at (9,1) and (-1,1) and a focus at (4-√29,1)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section7.3: Hyperbolas
Problem 2E
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Find an equation of the hyperbola in standard form described in each of the following items. 

1.) Transverse axis parallel to the x-axis, center at (3,2), a= 3 and b= 4

2.) Center at (-1,1), a focus at (4,1), and a vertex at (3,1)

3.) Vertices at (9,1) and (-1,1) and a focus at (4-√29,1)

4.) Hyperbola with a focus at (0,5) and ends of conjugate axis at (±2,0)

5.) Center at the origin, foci at (5,0) and (-5,0), and the length of the transverse axis is 6 units.

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