If the graph is an ellipse, find the center, foci, vertices, and lengths 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) - focus (x, y) = (smaller x-value or only focus) focus (x, y) = (larger x-value) vertex (x, y) = (smaller x-value or only vertex) (x, y) = ( | ) (larger x-value) vertex length of the major axis length of the minor axis asymptotes directrix

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
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) -—
focus
(x, y) =
(smaller x-value or only focus)
focus
(x, y) =
(larger x-value)
vertex
(x, y) =
(smaller x-value or only vertex)
(x, y) = (
(larger x-value)
vertex
length of the major axis
length of the minor axis
asymptotes
directrix
Transcribed Image Text: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) -— focus (x, y) = (smaller x-value or only focus) focus (x, y) = (larger x-value) vertex (x, y) = (smaller x-value or only vertex) (x, y) = ( (larger x-value) vertex length of the major axis length of the minor axis asymptotes directrix
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.
y2 = 4(x + 2y)
O ellipse
O parabola
O hyperbola
O degenerate conic
O no solution
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. y2 = 4(x + 2y) O ellipse O parabola O hyperbola O degenerate conic O no solution
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