document.write( "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.\"
\n" ); document.write( "y = /x + 2/ - 1
\n" ); document.write( "y = /x - 3/ - 2
\n" ); document.write( "y = /x - 1/ + 2
\n" ); document.write( "y = -/x + 2/ + 1 \n" ); document.write( "

Algebra.Com's Answer #75325 by stanbon(75887) $\"\"$ $\"About$

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.\"
\n" ); document.write( "-----------------
\n" ); document.write( "Graph y = |x|
\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%29\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "y = /x + 2/ - 1
\n" ); document.write( "The \"x+2\" moves the graph 2 to the left;
\n" ); document.write( "The -1 moves the graph 1 down;
\n" ); document.write( "You get:
\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x%2B2%29-1%29\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "y = /x - 3/ - 2
\n" ); document.write( "The \"x-3\" moves the original graph 3 to the right:
\n" ); document.write( "The -2 moves it down 2
\n" ); document.write( "You get:
\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x-3%29-2%29\"$
\n" ); document.write( "--------------------
\n" ); document.write( "y = /x - 1/ + 2
\n" ); document.write( "One to the right, then up 2.
\n" ); document.write( "-----------------
\n" ); document.write( "y = -/x + 2/ + 1
\n" ); document.write( "Two to the left, then flip it over the x-axis, then up 1.
\n" ); document.write( "=============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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