document.write( "Question 366132: How would i write a function of the form y=ax^2+bx whose graph contains the points (1,6) and (3,6)? \n" ); document.write( "

Algebra.Com's Answer #260892 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
By solving for a and b using the two points provided.
\n" ); document.write( " $\"y=ax%5E2%2Bbx\"$
\n" ); document.write( " $\"6=a%281%29%5E2%2Bb%281%29\"$
\n" ); document.write( "1. $\"a%2Bb=6\"$
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\n" ); document.write( " $\"6=a%283%29%5E2%2Bb%283%29\"$
\n" ); document.write( " $\"6=9a%2B3b\"$
\n" ); document.write( "2. $\"3a%2Bb=2\"$
\n" ); document.write( "Subtract eq. 1 from eq. 2,
\n" ); document.write( " $\"3a%2Bb-a-b=2-6\"$
\n" ); document.write( " $\"2a=-4\"$
\n" ); document.write( " $\"highlight%28a=-2%29\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"-2%2Bb=6\"$
\n" ); document.write( " $\"highlight%28b=8%29\"$
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\n" ); document.write( " $\"highlight%28y=-2x%5E2%2B8x%29\"$
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