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Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a hyperbola, a degenerate conic, or results in no solution. O ellipse O parabola O hyperbola O degenerate conic O no solution If the graph is an ellipse, find the center, foci, vertices, and lengths of the major and minor axes. If it is a parabola, find the focus, vertex, and directri If it is a hyperbola, find the center, foci, vertices, and asymptotes. (Enter your answers for asymptotes as a comma-separated list of equations. If an answer does not exist, enter DNE.) (x, y) = center focus focus vertex y² = 4(x + 2y) vertex length of the major axis length of the minor axis asymptotes directrix (x, y) = (x, y) = (x, y) = (x, y) = Sketch the graph of the equation. -3, 4 3,4 -4, 4 4,4 x = -5 X X (smaller x-value or only focus) (larger x-value) (smaller x-value or only vertex) (larger x-value)

Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a hyperbola, a degenerate conic, or results in no solution. O ellipse O parabola O hyperbola O degenerate conic O no solution If the graph is an ellipse, find the center, foci, vertices, and lengths of the major and minor axes. If it is a parabola, find the focus, vertex, and directri If it is a hyperbola, find the center, foci, vertices, and asymptotes. (Enter your answers for asymptotes as a comma-separated list of equations. If an answer does not exist, enter DNE.) (x, y) = center focus focus vertex y² = 4(x + 2y) vertex length of the major axis length of the minor axis asymptotes directrix (x, y) = (x, y) = (x, y) = (x, y) = Sketch the graph of the equation. -3, 4 3,4 -4, 4 4,4 x = -5 X X (smaller x-value or only focus) (larger x-value) (smaller x-value or only vertex) (larger x-value)

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 10T
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Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a hyperbola, a degenerate conic, or results in no solution. ellipse O parabola O hyperbola O degenerate conic O no solution If the graph is an ellipse, find the center, foci, vertices, and lengths of the major and minor axes. If it is a parabola, find the focus, vertex, and directrix. If it is a hyperbola, find the center, foci, vertices, and asymptotes. (Enter your answers for asymptotes as a comma-separated list of equations. If an answer does not exist, enter DNE.) (x, y) = center focus focus y² = 4(x + 2y) vertex vertex length of the major axis length of the minor axis. asymptotes directrix (x, y) = (x, y) = (x, y) = (x, y) = Sketch the graph of the equation. -3, 4 3, 4 -4,4 4,4 x = -5 X X X (smaller x-value or only focus) (larger x-value) (smaller x-value or only vertex) (larger x-value)
Transcribed Image Text:Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a hyperbola, a degenerate conic, or results in no solution. ellipse O parabola O hyperbola O degenerate conic O no solution If the graph is an ellipse, find the center, foci, vertices, and lengths of the major and minor axes. If it is a parabola, find the focus, vertex, and directrix. If it is a hyperbola, find the center, foci, vertices, and asymptotes. (Enter your answers for asymptotes as a comma-separated list of equations. If an answer does not exist, enter DNE.) (x, y) = center focus focus y² = 4(x + 2y) vertex vertex length of the major axis length of the minor axis. asymptotes directrix (x, y) = (x, y) = (x, y) = (x, y) = Sketch the graph of the equation. -3, 4 3, 4 -4,4 4,4 x = -5 X X X (smaller x-value or only focus) (larger x-value) (smaller x-value or only vertex) (larger x-value)
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