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 - 3.1 Introduction to the Family of Quadratic Functions - Exercises and Problems for Section 3.1 - Exercises and Problems - Page 121: 21


Concave up.

Work Step by Step

Expand the function to get $$y=5(x-3)(x-3)=5(x^2-3x-3x+9)=5(x^2-6x+9)$$ $$y=5x^2-30x+45$$ Since the coefficient to the $x^2$ term is positive, the function is concave up.
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