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 - 64x + 4y2 = 0 O ellipse parabola O hyperbola O degenerate conic O no solution

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,...
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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
(х, у) —
(smaller y-value or only focus)
(x, y) = (
(larger y-value)
focus
(x, y) = (
(smaller y-value or only vertex)
vertex
vertex
(x, y) = |
(larger y-value)
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.) (x, y) = center focus (х, у) — (smaller y-value or only focus) (x, y) = ( (larger y-value) focus (x, y) = ( (smaller y-value or only vertex) vertex vertex (x, y) = | (larger y-value) 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.
16x2 - 64x + 4y2 = 0
O ellipse
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. 16x2 - 64x + 4y2 = 0 O ellipse parabola O hyperbola O degenerate conic O no solution
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