Question 64977
Use the graph of g(x) = |x| to sketch the graph of y = 1/3 |x-1|. 

We can translate, stretch, shrink and reflect an absolute value graph. The graph for |x| has a "v" shape with its vertex at (0,0); the graph opens upwards since the slope is 1 (g(x) = |x|=1|x|). 
Let's see how we can get to the graph for y = 1/3 |x-1|
1/3 represents the shrink factor; since it's < 0 the graph for y will be shrinked along Y-axis; that means that for any value on X-axis, its coresponding Y-coordinate will be 1/3 of that value. 
|x-1| tell us that the graph for y will be shifted/translated to the right along x axis. Now the "new" origin of the graph is (1,0). 

Hope this helps.