3. Complete the square to determine whether the equation represents an ellipse, a parabola, a hyperbola or a degenerate conic. For ellipse: find center, foci, vertices, and length of the major and minor axes; For parabola: find the vertex, focus, and directrix; For hyperbola: find the center, foci, vertices, and asymptotes. Sketch the graph. (a) x² +6x+12y+9=0 (b) 2x² + y² = 2y +1 (c) 16x² (d) x² +16=4(y² +2x) -9y²-96x+288=0
3. Complete the square to determine whether the equation represents an ellipse, a parabola, a hyperbola or a degenerate conic. For ellipse: find center, foci, vertices, and length of the major and minor axes; For parabola: find the vertex, focus, and directrix; For hyperbola: find the center, foci, vertices, and asymptotes. Sketch the graph. (a) x² +6x+12y+9=0 (b) 2x² + y² = 2y +1 (c) 16x² (d) x² +16=4(y² +2x) -9y²-96x+288=0
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 11T
Related questions
Question
Expert Solution
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 3 images
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning