Answer
See below.
Work Step by Step
$g(t)=3(t-2)^2+7=3(t^2-4t+4)+7=3t^2-12t+12+7=3t^2-12t+19$
This formula is in the form of $ax^2+bx+c$ and $a\ne0$, thus it is a quadratic function.
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 - 3.1 Introduction to the Family of Quadratic Functions - Exercises and Problems for Section 3.1 - Exercises and Problems - Page 121: 1
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