Question 64977: Can someone help me with this problem:
Use the graph of g(x) = |x| to sketch the graph of y = 1/3 |x-1|
Answer by cristiana(10)   (Show Source):
You can put this solution on YOUR website! 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.
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