Answer
$22$ ft
Work Step by Step
$h=-16t^2+32t+6=-16(t^2-2t)+6=-16((t-1)^2-1)+6=-16(t-1)^2+16+6=-16(t-1)^2+22$
Thus the vertex of the graph is at $(1,22)$, and the maximum height is $22$ ft.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
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: 62
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