Complete the square to determine whether the equation represents anellipse, a parabola, a hyperbola, a degenerate conic, or results in no solution.26x2 + y? = 10y + 1O ellipseO parabolao hyperbolaO degenerate conicno solutionIf the graph is an ellipse, find the center, foci, vertices, and lengths of themajor and minor axes. If it is a parabola, find the focus, vertex, anddirectrix. 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) =centerfocus(x, y) =(smaller y-value or only focus)focus(x, y) =(larger y-value)(x, y) = ((smaller y-value or only vertex)vertexv) = (vertex(х, у) 3D(larger y-value)length of the major axislength of the minor axisasymptotesdirectrix

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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. 26x2 + y? = 10y + 1 O ellipse O parabola O hyperbola o degenerate conic no solution

Complete the square to determine whether the equation represents an ellipse, a parabola, a hyperbola, a degenerate conic, or results in no solution. 26x2 + y? = 10y + 1 O ellipse O parabola O hyperbola o degenerate conic no solution

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter7: Conic Sections And Quadratic Systems

Section7.3: The Hyperbola

Problem 53E

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Question

Complete the square to determine whether the equation represents an
ellipse, a parabola, a hyperbola, a degenerate conic, or results in no solution.
26x2 + y? = 10y + 1
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 y-value or only focus)
focus
(x, y) =
(larger y-value)
(x, y) = (
(smaller y-value or only vertex)
vertex
v) = (
vertex
(х, у) 3D
(larger y-value)
length of the major axis
length of the minor axis
asymptotes
directrix

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