The equation of a hyperbola is 64 a) Find the center, vertices, transverse axis, and asymptotes of the hyperbola. b) Use the vertices and the asymptotes to graph the hyperbola. a) The center of the hyperbola is. (Type an ordered pair.) The vertices are (Type an ordered pair. Use a comma to separate answers as needed.) The transverse axis is (Type an equation.) Determine the equations of the asymptotes. Choose the correct answer below. 7 ± √(x + O A. y + 1 = + (x+3)² (y + 1)² 49 (x+3) 8 O C. y + 3 = +7(x+1) O A. = 1. b) Choose the correct graph below. OB. -16 13- 10 8 OB. Y+1= (x+3) OD. y + 3 = + (x+1) O C. OD.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 7E
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Question
The equation of a hyperbola is
64
a) Find the center, vertices, transverse axis, and asymptotes of the hyperbola.
b) Use the vertices and the asymptotes to graph the hyperbola.
a) The center of the hyperbola is (Type an ordered pair.)
7
O A. y + 1 = + (x + 3)
(x+3)² (y + 1)²
49
The vertices are
(Type an ordered pair. Use a comma to separate answers as needed.)
The transverse axis is
(Type an equation.)
Determine the equations of the asymptotes. Choose the correct answer below.
8
O c. y + 3 = +7(x+1)
b) Choose the correct graph below.
O A.
= 1.
-11
B.
-16
AV
13-
-15-
i 10
8
O B. Y+1= + (x+3)
7
O D. y + 3 = + g(x+1)
O C.
-16
13-
10
Q
O D.
12+
mm
-14-
11
Transcribed Image Text:The equation of a hyperbola is 64 a) Find the center, vertices, transverse axis, and asymptotes of the hyperbola. b) Use the vertices and the asymptotes to graph the hyperbola. a) The center of the hyperbola is (Type an ordered pair.) 7 O A. y + 1 = + (x + 3) (x+3)² (y + 1)² 49 The vertices are (Type an ordered pair. Use a comma to separate answers as needed.) The transverse axis is (Type an equation.) Determine the equations of the asymptotes. Choose the correct answer below. 8 O c. y + 3 = +7(x+1) b) Choose the correct graph below. O A. = 1. -11 B. -16 AV 13- -15- i 10 8 O B. Y+1= + (x+3) 7 O D. y + 3 = + g(x+1) O C. -16 13- 10 Q O D. 12+ mm -14- 11
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