Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 9 - Quadratic Functions and Equations - Chapter Review - Page 604: 9


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Work Step by Step

We are given: $y=-\frac{1}{2}x^2+4x+1$ Let's list some values: $x=-2 \rightarrow y=7$ $x=-1 \rightarrow y=\frac{9}{2}$ $x=0 \rightarrow y=1$ $x=1 \rightarrow y=\frac{9}{2}$ $x=2 \rightarrow y=7$ The x-coordinate of the vertex is given by $x=\frac{-b}{2a}=\frac{-4}{2.\frac{-1}{2}}=4$ Find the y-coordinate of the vertex: $y=-\frac{1}{2}(4)^2+4(4)+1=9$ Hence, the vertex is $(4,9)$.
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