document.write( "Question 1101264: Determine whether a quadratic model exists for the set of values below. If​ so, write the model.\r
\n" ); document.write( "\n" ); document.write( "f(0)=4 f(2)=6 f(-1)=9
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Algebra.Com's Answer #715806 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Use the general equation,
\n" ); document.write( "\"y=ax%5E2%2Bbx%2Bc\"
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\n" ); document.write( "(0,4)
\n" ); document.write( "\"4=a%280%29%5E2%2Bb%280%29%2Bc\"
\n" ); document.write( "\"c=4\"
\n" ); document.write( "(2,6)
\n" ); document.write( "\"6=a%282%29%5E2%2Bb%282%29%2Bc\"
\n" ); document.write( "\"4a%2B2b%2B4=6\"
\n" ); document.write( "1.\"2a%2Bb=1\"
\n" ); document.write( "(-1,9)
\n" ); document.write( "\"9=a%28-1%29%5E2%2Bb%28-1%29%2Bc\"
\n" ); document.write( "\"a-b%2B4=9\"
\n" ); document.write( "2.\"a-b=5\"
\n" ); document.write( "Adding 1 and 2,
\n" ); document.write( "\"2a%2Bb%2Ba-b=1%2B5\"
\n" ); document.write( "\"3a=6\"
\n" ); document.write( "\"a=2\"
\n" ); document.write( "and then from 1,
\n" ); document.write( "\"2%282%29%2Bb=1\"
\n" ); document.write( "\"4%2Bb=1\"
\n" ); document.write( "\"b=-3\"
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\n" ); document.write( "\"y=2x%5E2-3x%2B4\"
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