Answer
$y=x^2-8x+24$
Work Step by Step
Use the vertex form:
$$y=a(x-h)^2+k$$ where $(h,k)$ is the vertex.
Identify $h$, $k$:
$$(h,k)=(4,8)\Rightarrow h=4, k=8$$ Substitute $h,k$ and let $a=1$:
$$y=1(x-4)^2+8$$ $$y=x^2-8x+16+8$$ $$y=x^2-8x+24$$
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: 46
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