we have the new function
[tex]f(x)=\frac{2}{3}\mleft|x\mright|+3[/tex]
The vertex of this function is the ordered pair (0,3)
The coordinates of the second point
(2,2) ------------> (2,f(2))
Find the value of f(2)
[tex]\begin{gathered} f(2)=\frac{2}{3}|2|+3 \\ f(2)=\frac{2}{3}\cdot(2)+3 \\ f(2)=\frac{4}{3}+3=\frac{13}{3} \end{gathered}[/tex]
the new coordinates of point (2,2) are (2,13/3)
see the attached figure
