Answer:
See attachment.
Step-by-step explanation:
The parent function is [tex]f(x)=|x|[/tex]
When this function is translated 2 units to the right, the new equation becomes; [tex]g(x)=|x-2|[/tex].
Another translation of 2 units up gives [tex]h(x)=|x-2|+2[/tex].
A final dilation by a factor of [tex]\frac{1}{3}[/tex] gives [tex]i(x)=\frac{1}{3}|x-2|+2[/tex].
The graph of this function is shown in the attachment.
