College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.5 - Page 283: 98

Answer

please see image .
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Work Step by Step

$f(x)=x^{3}$ (Using desmos.com) we graph f(x) (blue dashed graph). By hand, plot the points on the graph of $f(x)$: (-2,-8), (-1,-1), (0,0), (1,1), (2,8) and join with a smooth curve. $\mathrm{g}(x)=f(x-2),$ so the graph of $g$ (solid red line) is obtained from the graph of f by shifting it to the right by 2 units (solid red line) Using the above points, $(x,f(x))$ plot the points $(x+2$, $f(x))$ and join with a smooth curve.
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