Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 11: Parametric Equations and Polar Coordinates - Section 11.6 - Conic Sections - Exercises 11.6 - Page 677: 1

Answer

Focus$:\qquad (2,0)$ Directrix is $\qquad x=-2$

Work Step by Step

The parabola opens to the right: $\quad\Rightarrow \quad y^{2}=4px.$ The only equation of this form is $y^{2}=8x=4(2)x,\qquad\Rightarrow p=2$ Focus is at $(p,0)=(2,0)$ The directrix is $\qquad $ $x=-p$ $x=-2$
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