Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 11 - Section 11.1 - Parabolas - 11.1 Exercises - Page 788: 20

Answer

(a) Focus: $F(\frac{1}{36},0)$ Directrix: $x=\frac{1}{36}$ $Focal~diameter=\frac{1}{9}$ (b)

Work Step by Step

Equation of a parabola with horizontal axis: $y^2=4px$ $9x=y^2$ $y^2=9x$ $4p=9$ $p=\frac{9}{4}$ Focus: $F(p,0)=F(\frac{9}{4},0)$ Directrix: $x=-p=-\frac{9}{4}$ $Focal~diameter=|4p|=9$
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