document.write( "Question 64639: find an equation in the form y=ax^2+bx+c whose graph passes through the points (-1,-2), (1,4), (2,13) \n" ); document.write( "
Algebra.Com's Answer #46236 by venugopalramana(3286)\"\" \"About 
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SEE THE FOLLOWING EXAMPLE AND TRY.IF STILL IN
\n" ); document.write( "DIFFICULTY PLEASE COME BACK
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\n" ); document.write( "Find an equation of the form y = ax^2 + bx + c whose
\n" ); document.write( "graph passes through the points (1,-2) (2,-1), and
\n" ); document.write( "(3,4).
\n" ); document.write( "SUBSTITUTING THE VALUE OF X FROM POINTS(X,Y) IN THE
\n" ); document.write( "GIVEN EQN. FOR Y WE GET
\n" ); document.write( "A+B+C=-2...................1
\n" ); document.write( "4A+2B+C=-1.......................2
\n" ); document.write( "9A+3B+C=4............3
\n" ); document.write( "EQN.2-EQN.1
\n" ); document.write( "3A+B=1................4
\n" ); document.write( "EQN.3-EQN.2
\n" ); document.write( "5A+B=5.................5
\n" ); document.write( "EQN.5 - EQN.4
\n" ); document.write( "2A=4
\n" ); document.write( "A=2
\n" ); document.write( "SUBSTITUTING IN EQN.4....
\n" ); document.write( "6+B=1
\n" ); document.write( "B=-5
\n" ); document.write( "SUBSTITUTING IN EQN.1
\n" ); document.write( "2-5+C=-2
\n" ); document.write( "C=1
\n" ); document.write( "HENCE THE EQN.IS
\n" ); document.write( "Y = 2X^2-5X+1
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