document.write( "Question 950291: find the quadratic which passes through the point (0.0),(1,1),(2,8). determine the answer by solving three equation in three unknown \n" ); document.write( "

Algebra.Com's Answer #580250 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the quadratic equation,
\n" ); document.write( " $\"y=fx%5E2%2Bgx%2Bh\"$
\n" ); document.write( "Now input each point to get an equation,
\n" ); document.write( " $\"0=f%280%29%2Bg%280%29%2Bh\"$
\n" ); document.write( " $\"h=0\"$
\n" ); document.write( "So now the final two equations only will have f and g.
\n" ); document.write( " $\"1=f%281%29%2Bg%281%29\"$
\n" ); document.write( "1. $\"f%2Bg=1\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"8=f%284%29%2Bg%282%29\"$
\n" ); document.write( " $\"4f%2B2g=8\"$
\n" ); document.write( "2. $\"2f%2Bg=4\"$
\n" ); document.write( "Subtract eq. 1 from eq. 2,
\n" ); document.write( " $\"2f%2Bg-f-g=4-1\"$
\n" ); document.write( " $\"f=3\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"3%2Bg=1\"$
\n" ); document.write( " $\"g=-2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y=3x%5E2-2x\"$
\n" ); document.write( " $\"y=x%283x-2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );