document.write( "Question 1182226: Hi there,
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\n" ); document.write( "\n" ); document.write( "find the quadratic function y=ax^2+2x+c find the value of a and c so that 2 becomes the maximum value at x=1.
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Algebra.Com's Answer #812190 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "For the graph of\r\n" );
document.write( "\"y=ax%5E2%2B2x%2Bc\"\r\n" );
document.write( "to have a maximum value, it must open downward which means that its leading\r\n" );
document.write( "coefficient, a, must be negative.\r\n" );
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document.write( "y is its maximum value at the vertex when x=1, so we substitute 1 for x and 2\r\n" );
document.write( "for y\r\n" );
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document.write( "\"y=ax%5E2%2B2x%2Bc\"\r\n" );
document.write( "\"2=a%281%29%5E2%2B2%281%29%2Bc\"\r\n" );
document.write( "\"2=a%2B2%2Bc\"\r\n" );
document.write( "\"0=a%2Bc\"\r\n" );
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document.write( "The formula for the x coordinate of the vertex is:\r\n" );
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document.write( "\"-b%2F%282a%29\"\r\n" );
document.write( "So\r\n" );
document.write( "\"-2%2F%282a%29=1\"\r\n" );
document.write( "\"-2=2a\"\r\n" );
document.write( "\"-1=a\"\r\n" );
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document.write( "Substitute -1 for a in\r\n" );
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document.write( "\"0=a%2Bc\"\r\n" );
document.write( "\"0=-1%2Bc\"\r\n" );
document.write( "\"1=c\"\r\n" );
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document.write( "To check, substitute -1 for a and 1 for c in\r\n" );
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document.write( "\"y=ax%5E2%2B2x%2Bc\"\r\n" );
document.write( "\"y=-1x%5E2%2B2x%2B1\"\r\n" );
document.write( "\"y=-x%5E2%2B2x%2B1\"\r\n" );
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document.write( "Then graph:\r\n" );
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document.write( "Edwin
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