Question 103601
"Tell how each of the following may be graphed by "shifting" the graph of y=/x/. Then sketch the graph for each."
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Graph y = |x|
{{{graph(400,300,-10,10,-10,10,abs(x))}}}
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y = /x + 2/ - 1
The "x+2" moves the graph 2 to the left;
The -1 moves the graph 1 down;
You get:
{{{graph(400,300,-10,10,-10,10,abs(x+2)-1)}}}
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y = /x - 3/ - 2
The "x-3" moves the original graph 3 to the right:
The -2 moves it down 2
You get:
{{{graph(400,300,-10,10,-10,10,abs(x-3)-2)}}}
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y = /x - 1/ + 2
One to the right, then up 2.
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y = -/x + 2/ + 1
Two to the left, then flip it over the x-axis, then up 1.
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Cheers,
Stan H.