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: 15


$$ (-4,18)$$

Work Step by Step

Completing the square in order to write the equation in the form $a(x-h)^2+k$, we find: $$-\left(x^2+8x-2+4^2-4^2\right) \\ -\left(\left(x+4\right)^2-2-4^2\right) \\ -\left(x+4\right)^2+18$$ The vertex is $(h,k)$, so we see that the vertex is: $$ (-4,18)$$
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