Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 3 - Quadratic Functions - Exercises for Skills for Completing the Square - Page 138: 22


$$ (-\frac{1}{6},-\frac{23}{12})$$

Work Step by Step

Completing the square in order to write the equation in the form $a(x-h)^2+k$, we find: $$-3\left(\left(x+\frac{1}{6}\right)^2+\frac{2}{3}-\left(\frac{1}{6}\right)^2\right) \\ -3\left(x+\frac{1}{6}\right)^2-\frac{23}{12}$$ The vertex is $(h,k)$, so we see that the vertex is: $$ (-\frac{1}{6},-\frac{23}{12})$$
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