Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 9 - Analytic Geometry - Section 9.6 Polar Equations of Conics - 9.6 Assess Your Understanding - Page 704: 25

Answer

$y^2+2x-1=0$, parabola.

Work Step by Step

$r=\frac{1}{1+cos\theta}$, $r+r\ cos\theta=1$, $r=1-r\ cos\theta$, $r^2=(1-r\ cos\theta)^2$, $x^2+y^2=(1-x)^2$, $y^2=1-2x$, $y^2+2x-1=0$, parabola.
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