|x+4| = horizontal translation left 4 units
|x|+4 = vertical translation up 4 units
|x|-4 = vertical translation down 4 units
|x-4| = horizontal translation right 4 units
Think of it as when both x and a number are between the lines then do the opposite of what it says. For example |x+2| is actually going horizontal left 2 units so think of it as the plus being a minus. Same for |x-2| it is actually going horizontal right 2 units so think of it as adding 2 units
When it is just |x| plus or minus a number then you’re going up or down as in vertical so if it says for example: |x|+2 you’d be going vertical up 2 units and if it said |x|-2 then you’d be going vertical down 2 units.
Hope this helps!
