as attached.
Y = | x | is simply a "V" that goes through (0,0).
For Y = | x - 2 |,
you move the "V" two steps right because X needs to be 2 for Y to be 0.
Or think: X needs to be 2 more than Y, so when Y is zero (on the X axis), X must be 2.
The shape stays the same because no multiples/divisions are involved. Eg. if it were Y = |2X - 2| then the slopes will change.