(a) Explanation Given: A conic with center at the origin, focus ( 0 , − 2 ) and e = 1 . Concept used: If the equation of the parabola is x 2 = 4 c y then the axis of the parabola is vertical and vertex is ( 0 , 0 ) . The directrix of the parabola is y = − c and focus is ( 0 , c ) . Calculation: It is given that the center of the conic is at origin, focus ( 0 , − 2 ) and e = 1 . Since the eccentricity e = 1 so the given conic is a parabola. Compare the given focus ( 0 , − 2 ) with the expression of focus ( 0 , c ) to obtain the value of c . c = − 2 Therefore, the value of c is − 2 (b) To determine The equation of the conic with center at the origin, vertical major axis of length 6 and e = 5 6 .

A Graphical Approach to College Algebra (6th Edition)

6th Edition

ISBN: 9780321920300

Author: John Hornsby, Margaret L. Lial, Gary K. Rockswold

Publisher: PEARSON

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Chapter 7, Problem 11T

(a)

To determine

The equation of the conic with center at the origin, focus (0,−2) and e=1.

(b)

To determine

The equation of the conic with center at the origin, vertical major axis of length 6 and e=56.

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Chapter 7, Problem 10T

Chapter 7, Problem 12T

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Chapter 7 Solutions

A Graphical Approach to College Algebra (6th Edition)

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Identify the graph,...Ch. 7 - Prob. 10T Ch. 7 - Prob. 11T Ch. 7 - Prob. 12T Ch. 7 - Prob. 13T Ch. 7 - Prob. 14T Ch. 7 - Prob. 15T Ch. 7 - Prob. 16T

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The equation of the conic with center at the origin, focus ( 0 , − 2 ) and e = 1 .