The equations of the asymptotes of a hyperbola with transverse axis (focal axis) parallel to the x-axis are y = −2x + 1 and y = 2x + 9. If the conjugate axis of the hyperbola measures 8 units, then we can say that one of the vertices of the hyperbola is: A) (−4, 5) B) (−2, 7) C) (2, 5) D) (−6, 5)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 28E
icon
Related questions
Question

The equations of the asymptotes of a hyperbola with transverse axis (focal axis) parallel to the x-axis are y = −2x + 1 and y = 2x + 9. If the conjugate axis of the hyperbola measures 8 units, then we can say that one of the vertices of the hyperbola is:

A) (−4, 5)
B) (−2, 7)
C) (2, 5)
D) (−6, 5)

Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning