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An equation of a parabola is given. y = -x2 (a) Find the focus, directrix, and focal diameter of the parabola. (x, y) = ( focus directrix focal diameter

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter7: Conic Sections

Section7.1: Parabolas

Problem 20E: Graphing Parabolas An equation of a parabola is given. (a) Find the focus, directrix, and focal...

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Concept explainers

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

An equation of a parabola is given.
y = -x2
(a) Find the focus, directrix, and focal diameter of the parabola.
focus
(x, y) = (
directrix
focal diameter

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