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How do you know whether to put y2/a first or x2/a first?

How do you know whether to put y2/a first or x2/a first?

Elementary Geometry For College Students, 7e
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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How do you know whether to put y2/a first or x2/a first?

9.3: Hyperbolas Chapter 9: Topics in Analytic Geometry Write the equation of the hyperbola in standard form, identify the center, vertices, foci, and slope of the asymptotes, then sketch the hyperbola. 2 1. 4y²-9x² = 36 2 36 36 36 x² 2 4 =1 ²a=3²/16 = 2 ¥² C:(0,0) V: (0,3) (0,3). F: (0,₂413) ← (0₁-√13) (2= a² + b² 9+4 C=√13 за 2. b m asymps: ± 2. 16x²-9v² +64x+18y-89=0 -6 -4 --2 Ay 4 6 X
Transcribed Image Text:9.3: Hyperbolas Chapter 9: Topics in Analytic Geometry Write the equation of the hyperbola in standard form, identify the center, vertices, foci, and slope of the asymptotes, then sketch the hyperbola. 2 1. 4y²-9x² = 36 2 36 36 36 x² 2 4 =1 ²a=3²/16 = 2 ¥² C:(0,0) V: (0,3) (0,3). F: (0,₂413) ← (0₁-√13) (2= a² + b² 9+4 C=√13 за 2. b m asymps: ± 2. 16x²-9v² +64x+18y-89=0 -6 -4 --2 Ay 4 6 X
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How do you know that y2/a has to come first?

Ly-0) 2 (3)² (x-01² (2)2 =1
Transcribed Image Text:Ly-0) 2 (3)² (x-01² (2)2 =1
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Follow-up Question

How would you know which equation to use if you were just given this problem?

Write the equation of the hyperbola in standard form, identify the center, vertices, foci, and slope of the asymptotes, then sketch the hyperbola. 2 1. 4y²-9x² = 36
Transcribed Image Text:Write the equation of the hyperbola in standard form, identify the center, vertices, foci, and slope of the asymptotes, then sketch the hyperbola. 2 1. 4y²-9x² = 36
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