The equation of a hyperbola is (y + 3)2 - 16(x-3)² = 16. 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.). (Type an equation.) Determine the equations of the asymptotes. Choose the correct answer below. The transverse axis is OA. y + 3 ± 4(x-3) 1 OB. Y-3= (x+3) 1 OC. y + 3 = + (x-3) OD. Y-3 ± 4(x+3) >) Choose the correct graph below. O A. O B. O C.
The equation of a hyperbola is (y + 3)2 - 16(x-3)² = 16. 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.). (Type an equation.) Determine the equations of the asymptotes. Choose the correct answer below. The transverse axis is OA. y + 3 ± 4(x-3) 1 OB. Y-3= (x+3) 1 OC. y + 3 = + (x-3) OD. Y-3 ± 4(x+3) >) Choose the correct graph below. O A. O B. O C.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![The equation of a hyperbola is (y + 3)² – 16(x − 3)² = 16.
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.
O A. y + 3 + 4(x-3)
= + = (x+3)
OB. Y-3 +
1
O c. y + 3 = + (x-3)
D. Y-3 ±4(x + 3)
>) Choose the correct graph below.
O A.
Ay
Q
✓
B.
(...)
O C.
D.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8f23c41-b0a2-4b7f-b455-de9ffcd4a71a%2Fe42a2219-71cc-4206-9612-c78f5e1c0764%2F3rxx6cg_processed.png&w=3840&q=75)
Transcribed Image Text:The equation of a hyperbola is (y + 3)² – 16(x − 3)² = 16.
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.
O A. y + 3 + 4(x-3)
= + = (x+3)
OB. Y-3 +
1
O c. y + 3 = + (x-3)
D. Y-3 ±4(x + 3)
>) Choose the correct graph below.
O A.
Ay
Q
✓
B.
(...)
O C.
D.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning