Answer
$$3\left(t+4\right)^2-61$$
Work Step by Step
Completing the square, we obtain:
$$ 3\left(t^2+8t-\frac{13}{3}+4^2-4^2\right) \\ 3\left(\left(t+4\right)^2-\frac{13}{3}-4^2\right) \\ 3\left(t+4\right)^2-61$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
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: 4
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