document.write( "Question 86961: Draw a graph of f(x)=x^2. Use it to properly draw a graph of g(x)=(x-50)^2+100. What must be done to properly graph g(x)? \n" ); document.write( "
Algebra.Com's Answer #62917 by Edwin McCravy(20086)\"\" \"About 
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Draw a graph of f(x)=\"x%5E2\". Use it to properly draw a graph of g(x)=\"%28x-50%29%5E2%2B100\". What must be done to properly graph g(x)?
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document.write( "To go from the right side of f(x) to the right \r\n" );
document.write( "side of g(x), we must:\r\n" );
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document.write( "1. Replace x by (x-50)\r\n" );
document.write( "2. Add 100 to the right side\r\n" );
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document.write( "Step 1 shifts the graph 50 units RIGHT, then\r\n" );
document.write( "step 2 shifts the graph 100 units UP.\r\n" );
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document.write( "Here's the graph of f(x)=\"x%5E2\"}. It's a little tiny green \r\n" );
document.write( "parabola at the origin.  Look carefully and you'll see it. I had \r\n" );
document.write( "to draw it tiny because it has to be shifted so much:\r\n" );
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document.write( "Now we shift the green graph of f(x) to the blue one \r\n" );
document.write( "up at the top right which is the graph of g(x): \r\n" );
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document.write( "Notice that the vertex of the original green graph of \r\n" );
document.write( "f(x) is (0,0) and it has shifted to the point (50,100),\r\n" );
document.write( "the vertex of g(x).\r\n" );
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document.write( "Edwin

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