21-28 - Graphing Shifted Hyperbolas An equation of a hyper- bola is given. (a) Find the center, vertices, foci, and asymptotes of the hyperbola. (b) Sketch a graph showing the hyperbola and its asymptotes. (x + 1) (y – 3)² 21. 1 22. (x – 8)? – (y + 6)² = 1 16 (x + 1)² = 1 23. у 4 (y – 1)² – (x + 3)² = 1 24. 25 (x + 1)² (y + 1)² 25. (y + 2)? x 1 26. 9 4 36 64 27. 36x + 72x - 4y + 32y + 116 = 0 28. 25x - 9y? - 54y = 306 %3!

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter12: Conic Sections
Section12.4: Shifted Conics
Problem 28E
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21-28 - Graphing Shifted Hyperbolas An equation of a hyper-
bola is given. (a) Find the center, vertices, foci, and asymptotes of
the hyperbola. (b) Sketch a graph showing the hyperbola and its
asymptotes.
(x + 1) (y – 3)²
21.
1 22. (x – 8)? – (y + 6)² = 1
16
(x + 1)²
= 1
23. у
4
(y – 1)²
– (x + 3)² = 1
24.
25
(x + 1)² (y + 1)²
25.
(y + 2)? x
1 26.
9
4
36
64
27. 36x + 72x - 4y + 32y + 116 = 0
28. 25x - 9y? - 54y = 306
%3!
Transcribed Image Text:21-28 - Graphing Shifted Hyperbolas An equation of a hyper- bola is given. (a) Find the center, vertices, foci, and asymptotes of the hyperbola. (b) Sketch a graph showing the hyperbola and its asymptotes. (x + 1) (y – 3)² 21. 1 22. (x – 8)? – (y + 6)² = 1 16 (x + 1)² = 1 23. у 4 (y – 1)² – (x + 3)² = 1 24. 25 (x + 1)² (y + 1)² 25. (y + 2)? x 1 26. 9 4 36 64 27. 36x + 72x - 4y + 32y + 116 = 0 28. 25x - 9y? - 54y = 306 %3!
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