document.write( "Question 101208: how do you find a and b and c of a quadratic equation? I have data that is:\r
\n" ); document.write( "\n" ); document.write( "when x is 0, y is 1,.
\n" ); document.write( "when x is 1, y is 2.
\n" ); document.write( "when x is 2, y is 4.
\n" ); document.write( "when x is 3, y is 7.
\n" ); document.write( "when x is 4, y is 11.
\n" ); document.write( "when x is 5, y is 16.\r
\n" ); document.write( "\n" ); document.write( "and I have to write an equation for this data, which is quadratic I think. I don't know how to find a and b and c of the equation. \n" ); document.write( "
Algebra.Com's Answer #73673 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
how do you find a and b and c of a quadratic equation? I have data that is:\r
\n" ); document.write( "\n" ); document.write( "when x is 0, y is 1,.
\n" ); document.write( "when x is 1, y is 2.
\n" ); document.write( "when x is 2, y is 4.
\n" ); document.write( "when x is 3, y is 7.
\n" ); document.write( "when x is 4, y is 11.
\n" ); document.write( "when x is 5, y is 16.\r
\n" ); document.write( "\n" ); document.write( "and I have to write an equation for this data, which is quadratic I think. I don't know how to find a and b and c of the equation.
\n" ); document.write( "--------------
\n" ); document.write( "If it is quadratic, y = ax^2+bx+c and you need to find a,b, and c.
\n" ); document.write( "So,substitute x,y values from above to form 3 equations in a,b,c.
\n" ); document.write( "---------------------
\n" ); document.write( "(0,1) implies 1 = 0a+0b+c
\n" ); document.write( "(1,2) implies 2 = a + b + c
\n" ); document.write( "(2,4) implies 4 = 4a+2b+c
\n" ); document.write( "-----------------------------
\n" ); document.write( "Solve that system of equations by any means you know how.
\n" ); document.write( "I get a=(1/2), b=(1/2), c=1
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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