Question

use transformations to graph the function.\
\\( n(x) = 3|x| \\)

Explanation:

Step1: Identify parent function

Parent function: $f(x)=|x|$

Step2: Apply vertical stretch

Stretch $f(x)$ by factor 3: $n(x)=3|x|$

Step3: Verify key points

For $x=0$: $n(0)=3|0|=0$
For $x=2$: $n(2)=3|2|=6$
For $x=-2$: $n(-2)=3|-2|=6$
These points match the given graph.

Answer:

The provided graph correctly represents $n(x)=3|x|$ as it is a vertical stretch of the parent absolute value function $f(x)=|x|$ by a factor of 3, with key points $(0,0)$, $(2,6)$, $(-2,6)$ plotted appropriately.