Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 3 - Quadratic Functions - 3.1 Introduction to the Family of Quadratic Functions - Exercises and Problems for Section 3.1 - Exercises and Problems - Page 121: 26

Answer

$ y=\frac{7}{4}\cdot(x-1)(x-4) $

Work Step by Step

The zeros are $x=1,4$, so $y=a(x-1)(x-4)$. Solving for $a$, we have $$ \begin{aligned} a(0-1)(0-4) & =7 \\ 4 a & =7 \\ a & =\frac{7}{4} \end{aligned} $$ Hence $$ y=\frac{7}{4}\cdot(x-1)(x-4) $$
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