Homework Help is Here – Start Your Trial Now!
Math
Calculus
2.The equation of a hyperbola that is centered at (3, -1). A. 9(x + 3)2 – 16(y + 1)2 = 144 B. 9(x + 3)2 – 16(y – 1)2 = 144 C. (x - 3)2 – (y + 1)2 = 144 D. 9(x - 3)2 – 16(y – 1)2 = 144 3. Rewrite the equation of the hyperbola 9x2 - y2 = 81 in the standard form. c.-=1 D. -=1 A.-= 1 x2 С. y2 81 B. 81 = 9 7 4. Graph the equation 9y2 + 36y – x2 + 6x = 54. А. (y-(-2))² _ (x-3)² С. 9 (y-2)²_ (x-3)² = 1 1 - %3D 81 81 В. 3 (y-(-2))² (x-3)² = 1 (y-(-2))²_ (x-3)² = 1 9. D. - 3

2.The equation of a hyperbola that is centered at (3, -1). A. 9(x + 3)2 – 16(y + 1)2 = 144 B. 9(x + 3)2 – 16(y – 1)2 = 144 C. (x - 3)2 – (y + 1)2 = 144 D. 9(x - 3)2 – 16(y – 1)2 = 144 3. Rewrite the equation of the hyperbola 9x2 - y2 = 81 in the standard form. c.-=1 D. -=1 A.-= 1 x2 С. y2 81 B. 81 = 9 7 4. Graph the equation 9y2 + 36y – x2 + 6x = 54. А. (y-(-2))² _ (x-3)² С. 9 (y-2)²_ (x-3)² = 1 1 - %3D 81 81 В. 3 (y-(-2))² (x-3)² = 1 (y-(-2))²_ (x-3)² = 1 9. D. - 3

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
VI. Assessment Read the following statements. Choose the letter of the correct answer. 1. Give the center of hyperbola represented by the equation А. (0, 9) В. (0, 0) С. (25, 0) D. (9, 25) 2.The equation of a hyperbola that is centered at (3, -1). A. 9(x + 3)2 – 16(y + 1)² = 144 B. 9(x + 3)2 – 16(y - 1)2 = 144 C. (x – 3)2 – (y + 1)2 = 144 D. 9(x - 3)2 —- 16(у - 1)2 %3D144 3. Rewrite the equation of the hyperbola 9x2 – y2 = 81 in the standard form. c. - D. - A.- = 1 = 1 81 В. 81 9. 4. Graph the equation 9y² + 36y – x² + 6x = 54. (y-(-2))² _ (x-3)² (y-2)?_ (x-3)² А. = 1 81 С. = 1 81 9 (y-(-2))² В. (x-3)2 = 1 (y-(-2))² D. (х-3)2 = 1 3 5. Give the coordinates of the vertices of the fundamental rectangle of the hyperbola 25 (x-4) y2 = 1 А. (3, 1), (3, -1), (-1, -1), (1, -1) В. (9, 3), (9, -3), (-1, 3), (-1, -3) С. (9, 9), (9, -9), (-1, -9), (1, -9) D. (9, 1), (9, –1), (-1, –3), (1, -3) 6. Give the coordinates of the vertices of hyperbola represented by the x2 equation 9 (y+1)2 = 1 25 А. (-2, — 1), (2, —1) В. (-1, —3), (1,3) С. (-3, —1),(3, —1) D. (-5, –1), (5, –1) 7. Give the coordinates of the foci of the hyperbola represented by the x2 y2 Equation 64 = 1 36 А. (0, 0), (1, —1) B. (-6, 0),(6,0) C. (-8, 0), (8, 0) D. (-10, 0), (10,0) 8. The length of the conjugate axis of the hyperbola given by the equation A.12 units C. 24 units B.20 units D. 100 units (x+1)² _ = 1 9. The opening of the branches of the hyperbola 34 49 A. upward and to the right C. left and right B. downward and to the left D. upward and downward 10. The equation of the hyperbola given by the graph below. 1 -10 -1 = 1 1 В. 64 1 D. 1 36 36
Transcribed Image Text:VI. Assessment Read the following statements. Choose the letter of the correct answer. 1. Give the center of hyperbola represented by the equation А. (0, 9) В. (0, 0) С. (25, 0) D. (9, 25) 2.The equation of a hyperbola that is centered at (3, -1). A. 9(x + 3)2 – 16(y + 1)² = 144 B. 9(x + 3)2 – 16(y - 1)2 = 144 C. (x – 3)2 – (y + 1)2 = 144 D. 9(x - 3)2 —- 16(у - 1)2 %3D144 3. Rewrite the equation of the hyperbola 9x2 – y2 = 81 in the standard form. c. - D. - A.- = 1 = 1 81 В. 81 9. 4. Graph the equation 9y² + 36y – x² + 6x = 54. (y-(-2))² _ (x-3)² (y-2)?_ (x-3)² А. = 1 81 С. = 1 81 9 (y-(-2))² В. (x-3)2 = 1 (y-(-2))² D. (х-3)2 = 1 3 5. Give the coordinates of the vertices of the fundamental rectangle of the hyperbola 25 (x-4) y2 = 1 А. (3, 1), (3, -1), (-1, -1), (1, -1) В. (9, 3), (9, -3), (-1, 3), (-1, -3) С. (9, 9), (9, -9), (-1, -9), (1, -9) D. (9, 1), (9, –1), (-1, –3), (1, -3) 6. Give the coordinates of the vertices of hyperbola represented by the x2 equation 9 (y+1)2 = 1 25 А. (-2, — 1), (2, —1) В. (-1, —3), (1,3) С. (-3, —1),(3, —1) D. (-5, –1), (5, –1) 7. Give the coordinates of the foci of the hyperbola represented by the x2 y2 Equation 64 = 1 36 А. (0, 0), (1, —1) B. (-6, 0),(6,0) C. (-8, 0), (8, 0) D. (-10, 0), (10,0) 8. The length of the conjugate axis of the hyperbola given by the equation A.12 units C. 24 units B.20 units D. 100 units (x+1)² _ = 1 9. The opening of the branches of the hyperbola 34 49 A. upward and to the right C. left and right B. downward and to the left D. upward and downward 10. The equation of the hyperbola given by the graph below. 1 -10 -1 = 1 1 В. 64 1 D. 1 36 36
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS