document.write( "Question 1189167: Here I have a question which is part of a homework assignment, I solved a and b but got lost at c. Any help would be greatly appreciated!\r
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Algebra.Com's Answer #820439 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "c.\r
\n" ); document.write( "\n" ); document.write( "\"y=ax%5E2%2Bbx%2Bc\"\r
\n" ); document.write( "\n" ); document.write( "use three given points on parabola to calculate \"a\", \"b\", and \"c\"\r
\n" ); document.write( "\n" ); document.write( "(\"0\",\"2\")
\n" ); document.write( "(\"0.4\",\"8\")
\n" ); document.write( "(\"3\",\"2\")\r
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\n" ); document.write( "\n" ); document.write( "\"y=ax%5E2%2Bbx%2Bc\"......if (\"0\",\"2\")
\n" ); document.write( "\"2=a%2A0%5E2%2Bb%2A0%2Bc\"
\n" ); document.write( "\"c=2\".......................eq.1\r
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\n" ); document.write( "\n" ); document.write( "\"y=ax%5E2%2Bbx%2Bc\"......if (\"0.4\",\"8\")\r
\n" ); document.write( "\n" ); document.write( "\"8=a%2A0.4%5E2%2Bb%2A0.4%2Bc\"...........substitute \"c\"\r
\n" ); document.write( "\n" ); document.write( "\"8=0.16a+%2B+0.4+b%2B2\"..............solve for \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"8-0.16a+-2=+0.4+b\"\r
\n" ); document.write( "\n" ); document.write( "\"6-0.16a+=+0.4+b\"\r
\n" ); document.write( "\n" ); document.write( "\"b=%286-0.16a%29%2F0.4\"\r
\n" ); document.write( "\n" ); document.write( "\"b=15+-+0.4a\"............eq.2\r
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\n" ); document.write( "\n" ); document.write( "\"y=ax%5E2%2Bbx%2Bc\"......if (\"3\",\"2\").......substitute \"b\" and \"c\"\r
\n" ); document.write( "\n" ); document.write( "\"2=a%2A3%5E2%2B%2815-+0.4a%29%2A3%2B2\".........solve for\"+a\"\r
\n" ); document.write( "\n" ); document.write( "\"2=7.8+a+%2B+47\"\r
\n" ); document.write( "\n" ); document.write( "\"7.8+a=2-+47\"\r
\n" ); document.write( "\n" ); document.write( "\"+a=-+45%2F7.8\"\r
\n" ); document.write( "\n" ); document.write( " \"a=-75%2F13\"\r
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\n" ); document.write( "\n" ); document.write( "go to eq.2, substitute \"a\"\r
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\n" ); document.write( "\n" ); document.write( "\"b=15+-+0.4%28-75%2F13%29\"............eq.2\r
\n" ); document.write( "\n" ); document.write( "\"b=225%2F13\"\r
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\n" ); document.write( "\n" ); document.write( "so, your equation is \"y=-%2875%2F13%29x%5E2%2B%28225%2F13%29x%2B2\"\r
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