document.write( "Question 26614: ihave to find the quadratic model in standard form for each of the set values. The values are: (0,3) (1,10) (2,10). i have already figured the vertex it (0,3) but after that im lost. PLEASE HELP \n" ); document.write( "
Algebra.Com's Answer #14863 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! SEE THE FOLLOWING EXAMPLE AND TRY.IF YOU STILL HAVE DIFFICULTY COME BACK\r \n" ); document.write( "\n" ); document.write( "If given a graph, with a vertex of (-3,4) and points (-4,3) and (-5,0).. how do I write this in standard form? \n" ); document.write( "IF YOU HAVE A GRAPH YOU KNOW THE VERTEX/CURVE POSITION IS ALONG X OR Y AXIS.THAT IS IT REPRESENTS MAXIMUM VALUE OF Y OR MINIMUM VALUE OF Y..IN ANY CASE IF THE VERTEX IS (-3,4),IT MEANS VERTEX OCCURS AT X=-3 AND ITS VALUE IS Y=4..SO THE EQN. IS \n" ); document.write( "(Y-4)=K(X+3)^2.....OR....(X+3)=K(Y-4)^2..SINCE BOTH EQUATIONS SATISFY THE VERTEX COORDINATES \n" ); document.write( "NOW WE TRY THE OTHER 2 POINTS TO FIND WHICH IS APPROPRIATE. \n" ); document.write( "PUTTING (-4,3),WE GET \n" ); document.write( "-1=K(-1)^2=K......................OR.............-1=K(-1)^2=K \n" ); document.write( "PUTTING (-5,0)...WE GET \n" ); document.write( "-4=K(-2)^2=4K..K=-1...............OR..............-2=K(-1)^2=K..WHICH IS NOT MATCHING WITH THE ABOVE..SO \n" ); document.write( "Y-4=-(X+3)^2.... IS THE EQN.YOU CAN PLOT AND SEE AS BELOW \n" ); document.write( " \n" ); document.write( "THIS IS FOR THE CORRECT ANSWER.ALL 3 POINTS ARE ON THE CURVE.THE CURVE IS ALONG Y AXIS. \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "THIS IS FOR THE WRONG ANSWER.ONLY 2 POINTS ARE ON THE CURVE.THE CURVE IS ALONG X AXIS. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |