Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 4 - 4.3 - Conics - 4.3 Exercises - Page 337: 20

Answer

Focus: $(-\frac{1}{4},0)$ (Red point) Directrix: $x=\frac{1}{4}$ (Black line)
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Work Step by Step

Parabola in the standard form with the vertex at origin (horizontal axis): $y^2=4px$ $x+y^2=0$ $y^2=-x$ That is: $4px=-x$ $p=-\frac{1}{4}$ $(p,0)=(-\frac{1}{4},0)$ Directrix: $x=-p=\frac{1}{4}$
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