Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.3 - The Parabola - Exercise Set - Page 997: 70

Answer

The light bulb must be placed at 4 inches above the vertex.

Work Step by Step

As per the given statement , we have $y=1$ and Diameter = 8 inches. This implies that Radius: $2x=8 \implies x=4$ Now, consider $x^2=4py$ This implies that $(4)^2=(4p)(1) \implies p=4$ Hence, the light bulb must be placed at 4 inches above the vertex.
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