Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 11 - Section 11.1 - Parabolas - 11.1 Exercises - Page 789: 46

Answer

$x^{2}=20y$

Work Step by Step

The equation will have an $x^{2}$ term as the axis of symmetry is y-axis. As the parabola opens upwards, the coefficient of y is positive. Therefore, the equation of the parabola is of the form $x^{2}= 4ay$ Given: a=5 $\implies$ $x^{2}=4\times5\,y$ or $x^{2}=20y$
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