Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.10 Write Quadratic Functions and Models - 4.10 Exercises - Skill Practice - Page 313: 22



Work Step by Step

We already know $y$, $x$, $p$ and $q$ from the given x-intercepts and the point, so in order to get the quadratic function we need to find $a$... $y=a(x-p)(x-q)$ $4=a(2+1)(2-4)$ $4=-6a$ $a=-\frac{4}{6}$ $a=-\frac{2}{3}$ Therefore the function is... $y=-\frac{2}{3}(x+1)(x-4)$
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