document.write( "Question 697560: What is the translation that describes how the vertex changes from the graph of y=|x+1|-3 to the graph of y=|x-5|-1 \n" ); document.write( "

Algebra.Com's Answer #430126 by Edwin McCravy(20060) $\"\"$ $\"About$

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y=|x+1|-3 to the graph of y=|x-5|-1
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document.write( "The vertex of \r\n" );
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document.write( "y=a|x-h|+k is (h,k), \r\n" );
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document.write( "so the vertex of y=|x+1|-3 is (-1,-3) and\r\n" );
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document.write( "the vertex of y=|x-5|-1 is (5,-1).\r\n" );
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document.write( "The horizontal shift (change in x) is from\r\n" );
document.write( "-1 to 5 which is a shift of (5)-(-1) = 5+1 = +6\r\n" );
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document.write( "The vertical shift (change in y) is from\r\n" );
document.write( "-3 to -1 is a shift of (-1)-(-3) = -1+3 = +2\r\n" );
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document.write( "y=|x+1|-3 to the graph of y=|x-5|-1\r\n" );
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document.write( "Edwin

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