Absolute value functions:
[tex]f(x)=a\lvert{x}\rvert[/tex]
When 0[tex]f(x)=\frac{1}{3}\lvert{x}\rvert[/tex]
From the given graphs just two are compressed vertically; find the value of f when x=-3 and when x=-2 to identify the graph from those options:
[tex]\begin{gathered} f(-3)=\frac{1}{3}\lvert{-3}\rvert=\frac{1}{3}(3)=1 \\ \\ f(-2)=\frac{1}{3}\lvert{-2}\rvert=\frac{2}{3} \end{gathered}[/tex]
Then, the graph of the given function is an absolute value graph compressed vertically and has points (-3,1) and (-2,2/3):
