document.write( "Question 959687: Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20).
\n" ); document.write( "Also please show your work, thanks.
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Algebra.Com's Answer #586631 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"y=ax%5E2%2Bbx%2Bc\"
\n" ); document.write( "So then using the points,
\n" ); document.write( "\"-20=a%28-2%29%5E2%2Bb%28-2%29%2Bc\"
\n" ); document.write( "1.\"4a-2b%2Bc=-20\"
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\n" ); document.write( "\"-4=a%280%29%5E2%2Bb%280%29%2Bc\"
\n" ); document.write( "2.\"c=-4\"
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\n" ); document.write( "\"-20=a%284%29%5E2%2Bb%284%29%2Bc\"
\n" ); document.write( "3.\"16a%2B4b%2Bc=-20\"
\n" ); document.write( "Substitute for \"c\" in eq. 1 and eq. 3.
\n" ); document.write( "\"4a-2b-4=-20\"
\n" ); document.write( "\"4a-2b=-16\"
\n" ); document.write( "4.\"2a-b=-8\"
\n" ); document.write( "and
\n" ); document.write( "\"16a%2B4b-4=-20\"
\n" ); document.write( "\"16a%2B4b=-16\"
\n" ); document.write( "5.\"4a%2Bb=-4\"
\n" ); document.write( "Add eq. 4 and 5,
\n" ); document.write( "\"2a-b%2B4a%2Bb=-8-4\"
\n" ); document.write( "\"6a=-12\"
\n" ); document.write( "\"a=-2\"
\n" ); document.write( "Then from eq. 5,
\n" ); document.write( "\"4%28-2%29%2Bb=-4\"
\n" ); document.write( "\"-8%2Bb=-4\"
\n" ); document.write( "\"b=4\"
\n" ); document.write( "So,
\n" ); document.write( "\"y=-2x%5E2%2B4x-4\"
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