Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Review Exercises - Page 1036: 36


$x^2=12y$, $3$ inches above the vertex.

Work Step by Step

Step 1. Use the figure given in the exercise, we can write the general form of the parabola as $x^2=4py$ Step 2. As point $(6,3)$ is on the parabola, we have $6^2=4p(3)$ which gives $p=3$. Thus the parabola is $x^2=12y$ Step 3. The light the source should be placed at the focus which is $3$ inches above the vertex.
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