When x = 0 y = 6
y=0 x = 6
x =12 y = 6
x=-6 y=12
graph and connect those points....
It will be a ' V' shaped graph
The V shape comes from every possible "y" being positive, as an uninfluenced absolute value can never end up being negative.
Note, nicolas.......this is the "parent" absolute value graph y = l x l shifted to the right by 6 units
In the form y = l x - h l the "vertex" of the parent graph - at (0,0) - is shited h units to the right...so the new "vertex" becomes (h,0)
If we had y =l x + h l the "vertex" of the graph would be shifted to the left by h units.....so the new "vertex" = (-h, 0)
Here's a graph of all three : https://www.desmos.com/calculator/nv2qmv6yli