document.write( "Question 358697: find a quadratic model in standard form (0,3) (1,10) (2,19) \n" ); document.write( "

Algebra.Com's Answer #256151 by Fombitz(32388) $\"\"$ $\"About$

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$\"y=ax%5E2%2Bbx%2Bc\"$
\n" ); document.write( "Use the three points given,
\n" ); document.write( " $\"3=a%280%29%5E2%2Bb%280%29%2Bc\"$
\n" ); document.write( " $\"highlight_green%28+c=3%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"10=a%281%29%5E2%2Bb%281%29%2Bc\"$
\n" ); document.write( " $\"a%2Bb%2Bc=10\"$
\n" ); document.write( "1. $\"a%2Bb=7\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"19=a%282%29%5E2%2Bb%282%29%2B3\"$
\n" ); document.write( " $\"4a%2B2b=16\"$
\n" ); document.write( "2. $\"2a%2Bb=8\"$
\n" ); document.write( "Subtract eq. 1 from eq. 2,
\n" ); document.write( " $\"2a%2Bb-a-b=8-7\"$
\n" ); document.write( " $\"highlight_green%28a=1%29\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"1%2Bb=7\"$
\n" ); document.write( " $\"highlight_green%28b=6%29\"$
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( " $\"y=ax%5E2%2Bbx%2Bc\"$
\n" ); document.write( " $\"highlight%28y=x%5E2%2B6x%2B3%29\"$
\n" ); document.write( " \n" ); document.write( "

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