Answer
See graph
Work Step by Step
Not that $m(n+2 \sqrt{2})=\frac{1}{2}(n+2 \sqrt{2})^2=\frac{1}{2} n^2+2 \sqrt{2} n+4$.
To sketch, shift the graph of $m(n)=\frac{1}{2} n^2$ by $2 \sqrt{2}$ units to the left, as in the figure.
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 - 3.2 The Vertex of a Parabola - Exercises and Problems for Section 3.2 - Exercises and Problems - Page 128: 22
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