Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 10 - Parametric Equations and Polar Coordinates - 10.5 Exercises - Page 700: 3

Answer

vertex: $(0,0)$ Focus: $(-\frac{1}{2},0)$ Directrix: $x=\frac{1}{2}$

Work Step by Step

$2x=-y^2$ or, $y^2=4(\frac{-1}{2})x$ Thus, vertex: $(0,0)$ Focus: $(-\frac{1}{2},0)$ Directrix: $x=\frac{1}{2}$
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