document.write( "Question 959048: Write a quadratic function that fits the points (2,27) (4,61) and (7,142). \n" ); document.write( "

Algebra.Com's Answer #586178 by Fombitz(32388) $\"\"$ $\"About$

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$\"y=ax%5E2%2Bbx%2Bc\"$
\n" ); document.write( "So,
\n" ); document.write( "1. $\"27=4a%2B2b%2Bc\"$
\n" ); document.write( "2. $\"61=16a%2B4b%2Bc\"$
\n" ); document.write( "3. $\"142=49a%2B7b%2Bc\"$
\n" ); document.write( "Subtract 1 from 2 and 1 from 3,
\n" ); document.write( " $\"16a%2B4b%2Bc-4a%2B2b%2Bc=61-27\"$
\n" ); document.write( " $\"12a%2B2b=34\"$
\n" ); document.write( "4. $\"6a%2Bb=17\"$
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\n" ); document.write( " $\"49a%2B7b%2Bc-4a-2b-c=142-27\"$
\n" ); document.write( " $\"45a%2B5b=115\"$
\n" ); document.write( "5. $\"9a%2Bb=23\"$
\n" ); document.write( "Subtract 4 from 5.
\n" ); document.write( " $\"9a%2Bb-6a-b=23-17\"$
\n" ); document.write( " $\"3a=6\"$
\n" ); document.write( " $\"a=2\"$
\n" ); document.write( "Then from 4,
\n" ); document.write( " $\"12%2Bb=17\"$
\n" ); document.write( " $\"b=5\"$
\n" ); document.write( "and finally from 1,
\n" ); document.write( " $\"8%2B10%2Bc=27\"$
\n" ); document.write( " $\"c=9\"$
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\n" ); document.write( " $\"y=2x%5E2%2B5x%2B9\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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