Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.3 - The Parabola - Concept and Vocabulary Check - Page 996: 9

Answer

$4$, $(-4,0)$, $(0,0)$

Work Step by Step

Given $4p=4$, we have $p=1$. With the vertex at $(-2,-1)$, we have the parabola as $(x+2)^2=4(y+1)$. At $y=0$ (line across the focus), we have $x=-2\pm2$. Thus the length of the latus rectum is $|4p|=4$ and the endpoints are $(-4,0)$ and $(0,0)$
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