Part 2 Find the standard form of the equation of the hyperbola with the given characteristics. 1.Vertices: (4, 1), (4, 9); foci: (4, 0), (4, 10) 2.Vertices: (1, 2), (3, 2); asymptotes: y = x, y = 4 -x

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 60E: DISCUSS: Light from a Lamp The light from a lamp forms a lighted area on a wall, as shown in the...
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Topic to be discussed: Ellipses and hyperbolas

Part 2
Find the standard form of the equation of the hyperbola with the given characteristics.
1.Vertices: (4, 1), (4, 9); foci: (4, 0), (4, 10)
2.Vertices: (1, 2), (3, 2); asymptotes: y = x, y = 4 -x

 

Part 3
(a) Find the standard form of the equation of the hyperbola, (b) find the center, vertices, foci, and asymptotes of the hyperbola, (c) draw the hyperbola and use a graphing utility to verify your graph.
1.4x2-9y2= 36
2.9x2-y2-36x -6y + 18 = 0

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