Find an equation of the hyperbola in standard form described in each of the following items.  1.) Transverse axis parallel to the x-axis, center at (3,2), a= 3 and b= 4 2.) Center at (-1,1), a focus at (4,1), and a vertex at (3,1)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section: Chapter Questions
Problem 3CC
icon
Related questions
Question

Find an equation of the hyperbola in standard form described in each of the following items. 

1.) Transverse axis parallel to the x-axis, center at (3,2), a= 3 and b= 4

2.) Center at (-1,1), a focus at (4,1), and a vertex at (3,1)

3.) Vertices at (9,1) and (-1,1) and a focus at (4-√29,1)

4.) Hyperbola with a focus at (0,5) and ends of conjugate axis at (±2,0)

5.) Center at the origin, foci at (5,0) and (-5,0), and the length of the transverse axis is 6 units.

Activity 1. Find an equation of the hyperbola in standard form described in each of the following items
paper for your answers and solutions.
1. Transverse axis parallel to the x-axis, center at ( 3,2), a = 3 and b = 4
2. Center at (-1, 1), a focus at (4, 1), and a vertex at (3, 1)
3. Vertices at (9, 1) and (-1, 1) and a focus at (4-/29,1)
4. Hyperbola with a focus at (0, 5) and ends of conjugate axis at (+2,0)
5. Center at the origin, foci at (5, 0) and (-5, 0), and the length of the transverse axis is 6 units.
ASSESS YO
Transcribed Image Text:Activity 1. Find an equation of the hyperbola in standard form described in each of the following items paper for your answers and solutions. 1. Transverse axis parallel to the x-axis, center at ( 3,2), a = 3 and b = 4 2. Center at (-1, 1), a focus at (4, 1), and a vertex at (3, 1) 3. Vertices at (9, 1) and (-1, 1) and a focus at (4-/29,1) 4. Hyperbola with a focus at (0, 5) and ends of conjugate axis at (+2,0) 5. Center at the origin, foci at (5, 0) and (-5, 0), and the length of the transverse axis is 6 units. ASSESS YO
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Hyperbolas
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
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