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. 16x2 - 8x - 80y + 81 =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.) (x, y) = ( center (x, y) = ( (smaller x-value or only focus) focus (x, y) = ( (larger x-value) focus (x, y) = ( (smaller x-value or only vertex) vertex (x, y) = ( vertex (larger x-value) length of the major axis length of the minor axis asymptotes directrix Sketch the graph of the equation. y 1아 10

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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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.
16x2 - 8x - 80y + 81 = 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.)
(x, V) = (
center
(x, y) = (|
(smaller x-value or only focus)
focus
(x, y) = (|
(larger x-value)
focus
(x, v) = (|
(smaller x-value or only vertex)
vertex
(x, y) =
(larger x-value)
vertex
length of the major axis
length of the minor axis
asymptotes
directrix
Sketch the graph of the equation.
y
y
10
10-
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. 16x2 - 8x - 80y + 81 = 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.) (x, V) = ( center (x, y) = (| (smaller x-value or only focus) focus (x, y) = (| (larger x-value) focus (x, v) = (| (smaller x-value or only vertex) vertex (x, y) = (larger x-value) vertex length of the major axis length of the minor axis asymptotes directrix Sketch the graph of the equation. y y 10 10-
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