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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
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
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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
Transcribed Image Text: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
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