Answer
$y=x^2+7x+10$
Work Step by Step
Use the intercept form of a quadratic function:
$$y=a(x-p)(x-q)$$
Substitute $p=-2$, $q=-5$ and let $a=1$:
$$y=1(x-(-2))(x-(-5))$$ $$y=(x+2)(x+5)$$ $$y=x^2+7x+10$$
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 8 - Graphing Quadratic Functions - 8.5 - Using Intercept Form - Exercises - Page 456: 48
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