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: 29

Answer

Focus = $(4,3)$; Directrix $x=-2$; Axis of symmetry $y=3$

Work Step by Step

The given parabola has general form $(y-k)^2=4p(x-h)$ Here, $4p=12 \implies p=3$ and vertex $(h,k)=(1, 3)$ Since, the parabola is horizontal, the axis of symmetry is $y=k=3$ with focus $(h+p, k)=(1+3,3)=(4,3)$ Now, the directrix is $x=h-p=1-3=-2$ Our results are: Focus = $(4,3)$; Directrix $x=-2$; Axis of symmetry $y=3$.
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