Determine whether the equation represents an ellipse, a parabola, or a hyperbola. 2x + y2 + 8y + 10 = 0 O ellipse O parabola O hyperbola If the graph is an ellipse, find the center, foci, and vertices. If it is a parabola, find the vertex, focus, 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) - (smaller x-value or only focus) focus (х, у) 3D (larger x-value) vertex (х, у) - (smaller x-value or only vertex) (х, у) %3D (larger x-value) vertex length of the major axis length of the minor axis asymptotes directrix

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Determine whether the equation represents an ellipse, a parabola, or a hyperbola.
2x + y2 + 8y + 10 = 0
O ellipse
O parabola
O hyperbola
If the graph is an ellipse, find the center, foci, and vertices. If it is a parabola, find the vertex, focus, 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) -
(smaller x-value or only focus)
focus
(х, у) 3D
(larger x-value)
vertex
(х, у) -
(smaller x-value or only vertex)
(х, у) %3D
(larger x-value)
vertex
length of the major axis
length of the minor axis
asymptotes
directrix
Transcribed Image Text:Determine whether the equation represents an ellipse, a parabola, or a hyperbola. 2x + y2 + 8y + 10 = 0 O ellipse O parabola O hyperbola If the graph is an ellipse, find the center, foci, and vertices. If it is a parabola, find the vertex, focus, 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) - (smaller x-value or only focus) focus (х, у) 3D (larger x-value) vertex (х, у) - (smaller x-value or only vertex) (х, у) %3D (larger x-value) vertex length of the major axis length of the minor axis asymptotes directrix
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