Answer
$ f $ is concave up everywhere.
Work Step by Step
$ f(x)=x^{2}-4x+3$
$ f'(x)= 2x-4$
$ f''(x)=2$
$ f'' \gt 0$
Since the second derivative is positive, we see that the graph is concave up everywhere.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 4 - Applications of the Derivative - 4.4 The Shape of a Graph - Exercises - Page 194: 3
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