document.write( "Question 1081567: A parabola whose axis is parallel to the y-axis passing through the points (-1,-3), (1,-2), (2,1). Find its equation. \n" ); document.write( "
Algebra.Com's Answer #695617 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Use the form,
\n" ); document.write( "\"y=ax%5E2%2Bbx%2Bc\"
\n" ); document.write( "For (-1,-3),
\n" ); document.write( "\"-3=a%28-1%29%5E2%2Bb%28-1%29%2Bc\"
\n" ); document.write( "1.\"a-b%2Bc=-3\"
\n" ); document.write( "For (1,-2),
\n" ); document.write( "\"-2=a%281%29%5E2%2Bb%281%29%2Bc\"
\n" ); document.write( "2.\"a%2Bb%2Bc=-2\"
\n" ); document.write( "For (2,1),
\n" ); document.write( "\"1=a%282%29%5E2%2Bb%282%29%2Bc\"
\n" ); document.write( "3.\"4a%2B2b%2Bc=1\"
\n" ); document.write( "Subtract 2 from 1,
\n" ); document.write( "\"a-b%2Bc-a-b-c=-3-%28-2%29\"
\n" ); document.write( "\"-2b=-1\"
\n" ); document.write( "\"b=1%2F2\"
\n" ); document.write( "Subtract 2 from 3,
\n" ); document.write( "\"4a%2B2b%2Bc-a-b-c=1-%28-2%29\"
\n" ); document.write( "\"3a%2Bb=3\"
\n" ); document.write( "\"3a%2B1%2F2=3\"
\n" ); document.write( "\"3a=5%2F2\"
\n" ); document.write( "\"a=5%2F6\"
\n" ); document.write( "and finally from 2,
\n" ); document.write( "\"a%2Bb%2Bc=-2\"
\n" ); document.write( "\"5%2F6%2B3%2F6%2Bc=-12%2F6\"
\n" ); document.write( "\"c=-20%2F6\"
\n" ); document.write( "\"c=-10%2F3\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"y=%285%2F6%29x%5E2%2Bx%2F2-10%2F3\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );