Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Review - Page 830: 46

Answer

Please see the graph. Axis of symmetry: $x=-5$ Vertex: $(-5, 0)$

Work Step by Step

$G(x)=(x+5)^2$ $G(x)=(x+5)(x+5)$ $G(x)=x*x+x*5+5*x+5*5$ $G(x)=x^2+5x+5x+25$ $G(x)=x^2+10x+25$ $a=1$, $b=10$, $c=25$ $x=-b/2a$ is the vertex. $x=-b/2a$ $x=-10/2*1$ $x=-10/2$ $x=-5$ $G(x)=(x+5)^2$ $G(-5)=(-5+5)^2$ $G(-5)=0^2$ $G(-5)=0$
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