document.write( "Question 1016603: Find the quadratic function that includes the set of values below
\n" ); document.write( "(0,9), (2,15), (4,5)
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #632971 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Use the general form of a quadratic, \"y=ax%5E2%2Bbx%2Bc\"
\n" ); document.write( "\"9=a%280%29%5E2%2Bb%280%29%2Bc\"
\n" ); document.write( "\"c=9\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"15=a%282%29%5E2%2Bb%282%29%2B9\"
\n" ); document.write( "\"4a%2B2b=6\"
\n" ); document.write( "1.\"2a%2Bb=3\"
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "\"5=a%284%29%5E2%2Bb%284%29%2B9\"
\n" ); document.write( "\"16a%2B4b=-4\"
\n" ); document.write( "2.\"4a%2Bb=-1\"
\n" ); document.write( "So then subtracting eq. 1 from eq. 2,
\n" ); document.write( "\"4a%2Bb-2a-b=-1-3\"
\n" ); document.write( "\"2a=-4\"
\n" ); document.write( "\"a=-2\"
\n" ); document.write( "and finally,
\n" ); document.write( "\"2%28-2%29%2Bb=3\"
\n" ); document.write( "\"-4%2Bb=3\"
\n" ); document.write( "\"b=7\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"y=-2x%5E2%2B7x%2B9\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "
\n" ); document.write( "
\n" );