document.write( "Question 976776: what equation is needed for a parabola which passes through points (0,3)(1,6)(-1,8) \n" ); document.write( "
Algebra.Com's Answer #598279 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The general formula is:
\n" ); document.write( "\"+y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"
\n" ); document.write( "( 0,3 )
\n" ); document.write( "\"+3+=+a%2A0%5E2+%2B+b%2A0+%2B+c+\"
\n" ); document.write( "\"+3+=+c+\"
\n" ); document.write( "----------------
\n" ); document.write( "( 1,6 )
\n" ); document.write( "\"+6+=+a%2A1%5E2+%2B+b%2A1+%2B+3+\"
\n" ); document.write( "\"+a+%2B+b+=+3+\"
\n" ); document.write( "----------------
\n" ); document.write( "( -1,8 )
\n" ); document.write( "\"+8+=+a%2A%28-1%29%5E2+%2B+b%2A%28-1%29+%2B+3+\"
\n" ); document.write( "\"+a+-+b+=+5+\"
\n" ); document.write( "----------------
\n" ); document.write( "Add the equations
\n" ); document.write( "\"+a+%2B+b+=+3+\"
\n" ); document.write( "\"+a+-+b+=+5+\"
\n" ); document.write( "---------------
\n" ); document.write( "\"+2a+=+8+\"
\n" ); document.write( "\"+a+=+4+\"
\n" ); document.write( "---------------
\n" ); document.write( "\"+a+%2B+b+=+3+\"
\n" ); document.write( "\"+4+%2B+b+=+3+\"
\n" ); document.write( "\"+b+=+-1+\"
\n" ); document.write( "---------------
\n" ); document.write( "The equation is:
\n" ); document.write( "\"+y+=+4x%5E2+-+x+%2B+3+\"
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "( 0,3 )
\n" ); document.write( "\"+y+=+4x%5E2+-+x+%2B+3+\"
\n" ); document.write( "\"+3+=+4%2A0%5E2+-+0+%2B+3+\"
\n" ); document.write( "\"+3+=+3+\"
\n" ); document.write( "-----------
\n" ); document.write( "You can check the other 2 points
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