Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 10 - Section 10.5 - Conic Sections - 10.5 Exercises - Page 680: 8

Answer

vertex: $(4,2)$ Focus: $(4,\frac{19}{8})$ Directrix: $y=\frac{13}{8}$

Work Step by Step

$2x^2-16x-3y+38=0$ $(x-4)^2=\frac{3}{2}(y-2)$ Thus, vertex: $(4,2)$ Focus: $(4,\frac{19}{8})$ Directrix: $y=\frac{13}{8}$
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