Answer
See the graph
Work Step by Step
Factoring gives $y=-4 c x+x^2+4 c^2=x^2-4 c k+4 c^2=(x-2 c)^2$. Since $c>0$, this is the graph of $y=x^2$ shifted to the right $2 c$ units. For $c= 1$, the following graph can be obtained.
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: 33
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