Complete the square to determine whether the equation represents an ellipse, a parabola, a hyperbola, a degenerate conic, or results in no solution. 9x2 - 6x - 36y + 37 = 0 O ellipse o parabola O hyperbola o 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.)

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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Complete the square to determine whether the equation represents an
ellipse, a parabola, a hyperbola, a degenerate conic, or results in no solution.
9x2 - 6x - 36y + 37 = 0
O ellipse
O parabola
o hyperbola
o 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.)
(x, Y) = (|
center
focus
(x, y) =
(smaller x-value or only focus)
focus
(x, Y) =
(larger x-value)
vertex
(x, Y) =
(smaller x-value or only vertex)
»- [
vertex
(x, y) =
(larger x-value)
length of the major axis
length of the minor axis
asymptotes
directrix
Transcribed Image Text:Complete the square to determine whether the equation represents an ellipse, a parabola, a hyperbola, a degenerate conic, or results in no solution. 9x2 - 6x - 36y + 37 = 0 O ellipse O parabola o hyperbola o 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.) (x, Y) = (| center focus (x, y) = (smaller x-value or only focus) focus (x, Y) = (larger x-value) vertex (x, Y) = (smaller x-value or only vertex) »- [ vertex (x, y) = (larger x-value) length of the major axis length of the minor axis asymptotes directrix
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