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Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter6: Fractions

Section6.1: Simplifying Fractions

Problem 37WE

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Question

Graphing conic sections Determine whether the following equation describe a parabola, an ellipse, or a hyperbola, and then sketch a graph of the curve. For each parabola, specify the location of the focus and the equation of the directrix; for each ellipse, label the coordinates of the vertices and foci, and find the lengths of the major and minor axes; for each hyperbola, label the coordinates of the vertices and foci, and find the equation of the asymptote.

Expert Solution

Step 1

Consider the given equation:

Here the objective is to find whether the given equation represent a parabola, an ellipse or a hyperbola.

Step 2

The equation of conics represented by the general equation of second degree

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$Hyperbolas$

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