Find the center, foci, vertices, asymptotes, and eccentricity of the given hyperbola. Graph the hyperbola. 1. y?-5x2 20 %3D (r+2) (y +4)². = 1 25 10 2.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the center, foci, vertices, asymptotes, and eccentricity of the given hyperbola.
Graph the hyperbola.
1. y?-5x2 20
%3D
(r+2) (y +4)².
= 1
25
10
2.
Transcribed Image Text:Find the center, foci, vertices, asymptotes, and eccentricity of the given hyperbola. Graph the hyperbola. 1. y?-5x2 20 %3D (r+2) (y +4)². = 1 25 10 2.
Expert Solution
Step 1

Given the equation of hyperbola

x+2210-y+4225=1

The standard form of hyper bola

x2a2-y2b2=1

Therefore this is a hyperbola with horizontal transverse axis.

Here a=10 and  b=5

 

 

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