Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.1 - Quadratic Functions and Models - Exercises - Page 631: 48

Answer

Height is function of time, so the coordinates have form (t,h). The $x$ coordinate of the vertex is the time at which the stone reaches its highest point. The $y$ coordinate of the vertex is the maximum height. The $x$ intercepts give the times that the stone is at zero height (launch, time when it hits the ground again.) The $y$ intercept gives the height of the stone at time zero (do we launch from the ground or from a raised platform.)

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