document.write( "Question 885670: For the function h(x)=-(x-5)^2+3, do the following:
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Algebra.Com's Answer #535346 by Edwin McCravy(20059)\"\" \"About 
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\"%22h%28x%29%22\"\"%22%22=%22%22\"\"-%28x-5%29%5E2%2B3\"\r\n" );
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document.write( "The parent function is the red graph below.\r\n" );
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document.write( "\"%22f%28x%29%22\"\"%22%22=%22%22\"\"x%5E2\"\r\n" );
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document.write( "Then we will multiply the right side by -1, getting\r\n" );
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document.write( "\"%22k%28x%29%22\"\"%22%22=%22%22\"\"-x%5E2\"\r\n" );
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document.write( "which will reflect it across or into the x-axis, the green\r\n" );
document.write( "graph below.  \r\n" );
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document.write( "Then we will replace x in the the right side by x-5, getting\r\n" );
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document.write( "\"%22g%28x%29%22\"\"%22%22=%22%22\"\"-%28x-5%29%5E2\"\r\n" );
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document.write( "which will shift it 5 units to the right, the light blue (aqua) \r\n" );
document.write( "graph below.\r\n" );
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document.write( "Finally we will add +3 to the the right side, getting\r\n" );
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document.write( "\"%22h%28x%29%22\"\"%22%22=%22%22\"\"-%28x-5%29%5E2%2B3\"\r\n" );
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document.write( "which will shift it 3 units upward, the purple graph below.\r\n" );
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document.write( "Edwin
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