Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.7 Complete the Square - 4.7 Exercises - Problem Solving - Page 290: 63

Answer

$40$ ft

Work Step by Step

$h=-16t^2+48t+4=-16(t^2-3t)+4=-16((t-1.5)^2-2.25)+4=-16(t-1.5)^2+36+4=-16(t-1.5)^2+40$ Thus the vertex of the graph is at $(1.5,40)$, and the maximum height is $40$ ft.
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