document.write( "Question 21540: I could use help on learning whare to place ordered pairs in quadratic equations. I have been ought for a long time because of a illness, so any help is greatly appreciated. my teacher asks : Given the points on the graoh, find the particular equation of the quadratic function containing the given ordered pairs, write the equation in standard form y=ax^2 + bx + c.............
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document.write( "One set of ordered pairs I am given is : (1,6),(3,26),(-2,21).......Thanks for the help, peter \n" );
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Algebra.Com's Answer #11626 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! GIVEN ORDERED PAIRS (x,y) \n" ); document.write( " x y \n" ); document.write( " 1 6 \n" ); document.write( " 3 26 \n" ); document.write( " -2 21 \n" ); document.write( " y=ax^2+bx+c substituting the 3 ordered pairs value for x and y in this eqn.we get \n" ); document.write( " a+b+c=6 I \n" ); document.write( " 9a+3b+c=26 II \n" ); document.write( " 4a-2b+c=21 III \r \n" ); document.write( "\n" ); document.write( "II-I 8a+2b=20 or 4a+b=10 IV \n" ); document.write( "II-III 5a+5b=5 or a+b=1 V \n" ); document.write( "IV-V 3a=9 or a=3 \n" ); document.write( "V 3+b=1 or b=-2 \n" ); document.write( "I 3-2+c=6 or c=5 \n" ); document.write( "hence y = 3x^2-2x+5 \n" ); document.write( " \n" ); document.write( " |