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: 19

Answer

(a) Focus: $F(0,\frac{5}{4})$ Directrix: $y=-\frac{5}{4}$ $Focal~diameter=5$ (b)

Work Step by Step

Equation of a parabola with vertical axis: $x^2=4py$ $x^2=5y$ $4p=5$ $p=\frac{5}{4}$ Focus: $F(0,p)=F(0,\frac{5}{4})$ Directrix: $y=-p=-\frac{5}{4}$ $Focal~diameter=|4p|=5$
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