Y=|x| is probably the original function so we see rewrite y=-1/3(|x+4|+6) we see that the whole function was multiplied by -1 and also by 1/3, so it is reflected across the x axis then vertically compressed by a factor of 1/3
see inside |x+4|+6 to move up, a units, add a to whole function this is 6, it was moved up 6 units to move right, c units, subtract c from every x so it was moved to the right -4 units or 4 units to the left
so the transformation is
from y=|x| to y=-1/3|x+4|-2 is
move left 4 units move up 6 units compressed vertically by a factor of 1/3 reflected across x axis
