College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 2 - Section 2.7 - Graphing Techniques - 2.7 Exercises - Page 257: 91

Answer

$g(x)=2x+13$

Work Step by Step

In general, a function $f(x)$ when translated $c$ units up and $d$ units left will result the new function $f(x+d)+c$. Considering this on $f(x)=2x+5$, where $c=2$ and $d=3$: $$g(x)=2(x+3)+5+2$$ $$g(x)=2x+6+5+2$$ $$g(x)=2x+13$$
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