College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 7, Conic Sections - Section 7.1 - Parabolas - 7.1 Exercises - Page 555: 46

Answer

$x^2=20y$

Work Step by Step

Opens upwards. It is a parabola with vertical axis. Focus: $F(0,p)$ Vertex: $V(0,0)$ $p$ is a positive number because the focus is on the positive y-axis. The focus is above the vertex. Distance between the focus and the vertex: $p-0=p$ $p=5$ Equation: $x^2=4py$ $x^2=4(5)y$ $x^2=20y$
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