## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 4 Quadratic Functions and Factoring - 4.7 Complete the Square - 4.7 Exercises - Skill Practice - Page 289: 39

#### Answer

The vertex is at $(2.8,125.44)$.

#### Work Step by Step

$h=-16t^2+89.6t\\h=-16(t^2-5.6t)\\h=-16((t-2.8)^2-2.8^2)\\h=-16(t-2.8)^2+16\cdot2.8^2\\h=-16(t-2.8)^2+125.44$ The vertex is at $(2.8,125.44)$ which means that the maximum height of the water is $125.44$ ft, and this happens after $2.8$ seconds.

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