SOLUTION: What does my teacher mean when she says "Tell how each of the following may be graphed by "shifting" the graph of y=/x/. Then sketch the graph for each." y = /x + 2/ - 1 y = /x -

Algebra ->  Graphs -> SOLUTION: What does my teacher mean when she says "Tell how each of the following may be graphed by "shifting" the graph of y=/x/. Then sketch the graph for each." y = /x + 2/ - 1 y = /x -      Log On


   

Question 103601: What does my teacher mean when she says "Tell how each of the following may be graphed by "shifting" the graph of y=/x/. Then sketch the graph for each."
y = /x + 2/ - 1
y = /x - 3/ - 2
y = /x - 1/ + 2
y = -/x + 2/ + 1
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
"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%28400%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%29
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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%28400%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x%2B2%29-1%29
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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%28400%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x-3%29-2%29
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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.