Answer
Shift the graph of the parent function 2 units to the right, then vertically scale by a factor of 3, shift by one unit up
Work Step by Step
We are given the function:
$h(x)=|3x-6|+1$
Rewrite the function:
$h(x)=|3(x-2)|+1=3|x-2|+1$
We start graphing with the parent function $p(x)=|x|$.
First shift $p(x)$ by 2 units to the right to get the function $g(x)=|x-2|$.
Then vertically scale $g(x)$ by a factor of 3 to get $k(x)=3|x-2|$.
Finally shift the function $k(x)$ by one unit up to get the function $h(x)=3|x-2|+1$.
Graph all transformations:
