Algebra 2 (1st Edition)

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

Chapter 4 Quadratic Functions and Factoring - Chapter Review - Page 322: 45



Work Step by Step

If the x-intercepts of a graph are $a,b$, then the function has the form $f(x)=k(x-a)(x-b)$. The x-intercepts are -3, 2, hence the quadratic function becomes $f(x)=k(x+3)(x-2)$. The point (3,12) is on the graph, hence if we plug in the values we get $12=k(6)(1)$. k=2, hence $f(x)=2(x+3)(x-2)$.
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