A hyperbola that has vertices (1, 2) and (3, 2) and that passes through the origin is shown below in the standard (x, y) coordinate plane. The hyperbola has which of the following equations? () (1,2) ((3,2) (x – 2)2 3(y – 2)² = 1 4. A. 1 (2 – 2)2 B. 4(y – 2)² 1 3 (x -- 2)² 3(y + 2)² c. 1 4. (2 – 2)?, 3(y – 2)² D. - 1 1 4. (2 + 2)2, 4(y + 2)² E. 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 64E
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A hyperbola that has vertices (1, 2) and (3, 2) and that passes through the origin is shown below in the standard (æ, y) coordinate plane. The hyperbola has which of the following equations? ()
(1,2))
(3,2)
(* – 2)2
A.
3(y – 2)2
1
4.
(x – 2)2
В.
4(y – 2)2
1.
3
(x -- 2)?
C.
3(y + 2)?
1
4.
(x – 2)?
D.
3(y – 2)2
1
1
4.
(x + 2)2, 4(y + 2)²
E
1
3
Transcribed Image Text:A hyperbola that has vertices (1, 2) and (3, 2) and that passes through the origin is shown below in the standard (æ, y) coordinate plane. The hyperbola has which of the following equations? () (1,2)) (3,2) (* – 2)2 A. 3(y – 2)2 1 4. (x – 2)2 В. 4(y – 2)2 1. 3 (x -- 2)? C. 3(y + 2)? 1 4. (x – 2)? D. 3(y – 2)2 1 1 4. (x + 2)2, 4(y + 2)² E 1 3
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