Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 3 - Graphing Linear Functions - 3.7 - Graphing Absolute Value Functions - Monitoring Progress - Page 156: 2

Answer

The graph of $n$ is a horizontal translation $4$ units left of the graph of $f$. The domain is all real numbers. The range is $y\geq 0$. The graph is shown below.

Work Step by Step

The given function is $f(x)=|x|$ and $n(x)=|x+4|$ By using input-output values prepare a table of values. Plot the ordered pairs. The function $n$ is of the form $y=f(x+h)$, where $h=4$. Hence, the graph of $n$ is a horizontal translation $4$ units left of the graph of $f$. The domain is all real numbers. The range is $y\geq 0$.
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