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: 8



Work Step by Step

Completing the square, we obtain: $$ 12\left(g^2+\frac{2g}{3}+\frac{5}{12}+\left(\frac{1}{3}\right)^2-\left(\frac{1}{3}\right)^2\right) \\ 12\left(\left(g+\frac{1}{3}\right)^2+\frac{5}{12}-\left(\frac{1}{3}\right)^2\right) \\ 12\left(g+\frac{1}{3}\right)^2+\frac{11}{3}$$
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