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)![]() ![]() You can put this solution on YOUR website! SEE THE FOLLOWING EXAMPLE AND TRY.IF STILL IN \n" ); document.write( "DIFFICULTY PLEASE COME BACK \n" ); document.write( "------------------------------------ \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 \n" ); document.write( " \n" ); document.write( " |