Please name the conic section and the axis

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section7.3: Hyperbolas
Problem 2E
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Please name the conic section and the axis
Given the equation (x – 5)² = y + 6
find the foci, vertices, directrix, axis, and asymptotes, where applicable, based on the given function.
Name of the conic section: ellipse X
Focus or foci: (from left to right or top to bottom)
(5
(DNE
-23/4
DNE
Vertex or vertices: (from left to right or top to þottom)
-6
(DNE
DNE
Directrix:
y =
-25/4
Axis ?
x3=
Asymptotes: (in increasing order)
y = DNE
X + DNE
y = DNE
x + DNE
symbolic formatting help
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Transcribed Image Text:Given the equation (x – 5)² = y + 6 find the foci, vertices, directrix, axis, and asymptotes, where applicable, based on the given function. Name of the conic section: ellipse X Focus or foci: (from left to right or top to bottom) (5 (DNE -23/4 DNE Vertex or vertices: (from left to right or top to þottom) -6 (DNE DNE Directrix: y = -25/4 Axis ? x3= Asymptotes: (in increasing order) y = DNE X + DNE y = DNE x + DNE symbolic formatting help Submit Answer
Given the equation (x – 5)² = y + 6
find the foci, vertices, directrix, axis, and asymptotes, where applicable, based on the given function.
Name of the conic section: ellipseX
Focus or foci: (from left to right or top to bottom)
( 5
-23/4
(DNE
DNE
Vertex or vertices: (from left to right or top to þottom)
(5
(DNE
-6
DNE
Directrix:
y =
-25/4
Axi v ?
of symmetry (parabola):
(major, ellipse):
(principal, hyperbola):
DNE
Asymptotes: (IN Increasing order)
y = DNE
y = DNE
X + DNE
x + DNE
symbolic formatting help
Transcribed Image Text:Given the equation (x – 5)² = y + 6 find the foci, vertices, directrix, axis, and asymptotes, where applicable, based on the given function. Name of the conic section: ellipseX Focus or foci: (from left to right or top to bottom) ( 5 -23/4 (DNE DNE Vertex or vertices: (from left to right or top to þottom) (5 (DNE -6 DNE Directrix: y = -25/4 Axi v ? of symmetry (parabola): (major, ellipse): (principal, hyperbola): DNE Asymptotes: (IN Increasing order) y = DNE y = DNE X + DNE x + DNE symbolic formatting help
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