College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 6 - Section 6.1 - Parabolas - 6.1 Exercises - Page 590: 26

Answer

Focus = $(4, 0)$; Directrix $x=-4$; Axis of symmetry $y=0$

Work Step by Step

The equation is in the form $y^2=4py$. Here, $4p=16 \implies p=4$ and vertex $(h,k)=(0,0)$ Since, the parabola is horizontal, the axis of symmetry is $y=0$ with focus $(p,0)=(4, 0)$ Now, the directrix is $x=-p=-4$ Our results are: Focus = $(4, 0)$; Directrix $x=-4$; Axis of symmetry $y=0$
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