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: 18

Answer

Focus: $(\frac{3}{4},0)$ (Red point) Directrix: $x=-\frac{3}{4}$ (Black line)
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Work Step by Step

Parabola in the standard form with the vertex at origin (horizontal axis): $y^2=4px$ $y^2=3x$ That is: $4px=3x$ $p=\frac{3}{4}$ $(p,0)=(\frac{3}{4},0)$ Directrix: $x=-p=-\frac{3}{4}$
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