SOLUTION: I need help explaining the changes between y = |x| and y= |2x-1|. I need to comment on what the 2 and the 1 do to the original graph of y=|x|.

Algebra ->  Graphs -> SOLUTION: I need help explaining the changes between y = |x| and y= |2x-1|. I need to comment on what the 2 and the 1 do to the original graph of y=|x|.      Log On


   

Question 401146: I need help explaining the changes between y = |x| and y= |2x-1|. I need to comment on what the 2 and the 1 do to the original graph of y=|x|.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I need help explaining the changes between y = |x| and y= |2x-1|. I need to comment on what the 2 and the 1 do to the original graph of y=|x|.
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Regarding y = |x|, notice that y is zero when x=0.
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Regarding y = |2x-1|, y will be zero when 2x-1=0
: that is when x = 1/2.
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Starting with "x",
the 2 is applied 1st, so all the y-values are multiplied by 2:
that narrows the graph of y = |x|.
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The -1 is then applied; that moves the graph to the right.
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I'll graph the two functions on the same axes:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%2Cabs%282x-1%29%29
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Cheers,
Stan H.