Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 10 - Conics, Parametric Equations, and Polar Coordinates - 10.1 Exercises - Page 692: 19

Answer

$x^{2}$ + y - 4 = 0

Work Step by Step

The vertex is at (0,4) and has two points: (-2,0) and (2,0). Therefore, the parabola has a vertical axis. $(x-0)^{2}$ = 4p(y-4) $2^{2}$ = 4p $\times$ (0-4) 4 = -16p p = -$\frac{1}{4}$ $x^{2}$ = -(y-4) $x^{2}$ + y - 4 = 0
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