Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 10 - Parametric Equations and Polar Coordinates - 10.5 Conic Sections - 10.5 Exercises - Page 720: 8

Answer

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