Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 9 - Quadratic Functions and Equations - 9-2 Quadratic Functions - Practice and Problem-Solving Exercises - Page 557: 26

Answer

It takes 0.938 seconds to reach maximum height. The maximum height is 20.063 feet. Range: $0 \leq y \leq 20.063$

Work Step by Step

Since this chapter is about graphing, we will solve this question by graphing, as this is also the easiest method. Graph the equation on the calculator, replacing $t$ with $x$ Since this is the real world, we can only use the first quadrant of the function. As you can see in the graph, the maximum is $20.063$ feet. The maximum is at $t = 0.938$, meaning it takes 0.938 seconds to reach the maximum height. The range of the function is from 0 (we cannot go lower because this is real world) to the maximum of 20.063 inclusive. Formulate this. Range: $0 \leq y \leq 20.063$
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