document.write( "Question 922793: write the equation of the quadratic equation whose graph passes through each set of points. (-3,2), (-1,0), and (1,6) using the elimination process. write in standard Form. \n" ); document.write( "
Algebra.Com's Answer #559738 by Fombitz(32388)\"\" \"About 
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\"y=ax%5E2%2Bbx%2Bc\"
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\n" ); document.write( "\"2=a%28-3%29%5E2%2Bb%28-3%29%2Bc\"
\n" ); document.write( "1.\"9a-3b%2Bc=2\"
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\n" ); document.write( "\"0=a%28-1%29%5E2%2Bb%28-1%29%2Bc\"
\n" ); document.write( "2.\"a-b%2Bc=0\"
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\n" ); document.write( "\"6=a%281%29%5E2%2Bb%281%29%2Bc\"
\n" ); document.write( "3.\"a%2Bb%2Bc=6\"
\n" ); document.write( "Subtract eq. 2 from eq. 1 and eq. 3 to eliminate \"c\".
\n" ); document.write( "\"9a-3b%2Bc-a%2Bb-c=2-0\"
\n" ); document.write( "\"8a-2b=2\"
\n" ); document.write( "4.\"4a-b=1\"
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\n" ); document.write( "\"a%2Bb%2Bc-a%2Bb-c=6-0\"
\n" ); document.write( "\"2b=6\"
\n" ); document.write( "5.\"b=3\"
\n" ); document.write( "Substitute into eq. 5,
\n" ); document.write( "\"4a-3=1\"
\n" ); document.write( "\"4a=4\"
\n" ); document.write( "\"a=1\"
\n" ); document.write( "Finally, use any equation to solve for \"c\".
\n" ); document.write( "\"1%2B3%2Bc=6\"
\n" ); document.write( "\"c=2\"
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\n" ); document.write( "\"highlight%28y=x%5E2%2B3x%2B2%29\"\r
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