Given the conic section 4x^2 - y^2 - 24x - 4y + 28 = 0 do the following: 1. Write the standard form equation of this conic section. 2. Sketch a graph of this conic section. Include in the sketch the vertices and the foci; if your conic is a hyperbola, also include the asymptotes.

Given the conic section 4x^2 - y^2 - 24x - 4y + 28 = 0 do the following: 1. Write the standard form equation of this conic section. 2. Sketch a graph of this conic section. Include in the sketch the vertices and the foci; if your conic is a hyperbola, also include the asymptotes.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Rational Functions And Conics

Section4.3: Conics

Problem 7ECP

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Question

Given the conic section

4x^2 - y^2 - 24x - 4y + 28 = 0

do the following:

1. Write the standard form equation of this conic section.

2. Sketch a graph of this conic section. Include in the sketch the vertices and the foci; if your conic is a hyperbola, also include the asymptotes.

Curve that is obtained by the intersection of the surface of a cone with a plane. The three types of conic sections are parabolas, ellipses, and hyperbolas. The main features of conic sections are focus, eccentricity, and directrix. The other parameters are principal axis, linear eccentricity, latus rectum, focal parameter, and major and minor axis.

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