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: 58


please see image (graph of g(x) is red) .

Work Step by Step

1. Graph $f(x)=x^{2}$ ...opens up, vertex at (0,0), some points: $(0,0)$, $(\pm 1,1),\ (\pm 2,4)$. (graph: blue, dashed) Refer to Table 2.4 (page 279): 2. To graph $y=(x-1)^{2} =f(x-1)$ by shifting the graph of f to the right by 1 unit. ...some points: $(1+0,0)$, $(1\pm 1,1),\ (1\pm 2,4)$ (graph: green, dotted ) 3. To graph $g(x)=-(x-1)^{2} =-f(x-1)$ by reflecting the green graph about the x-axis. ...some points: $(1+0,0)$, $(1\pm 1,-1),\ (1\pm 2,-4)$ (graph: red )
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