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 3x2 + 4y2 - 12x – 24y + 48 = 0 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 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.)
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 3x2 + 4y2 - 12x – 24y + 48 = 0 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 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.)
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 12T
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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.
3x2 + 4y2
12x
24y + 48 = 0
ellipse
parabola
hyperbola
degenerate conic
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.)
center
(х, у) 3D
focus
(х, у) 3D
(smaller x-value or only focus)
focus
(х, у) %3D
(larger x-value)
vertex
(х, у) 3D
(smaller x-value or only vertex)
(x, V) = (|
vertex
(larger x-value)
length of the major axis
length of the minor axis
asymptotes
directrix
Sketch the graph of the equation.
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