document.write( "Question 52883: Find the equation of a quadratic polynomial passing through the following points: (-1,2) (-5,2) and (6,8)? \n" ); document.write( "
Algebra.Com's Answer #35358 by ankor@dixie-net.com(22740)\"\" \"About 
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Quadratic_Equations/52883 (2006-09-19 14:53:26):
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\n" ); document.write( "Find the equation of a quadratic polynomial passing through the following points: (-1,2) (-5,2) and (6,8)?\r
\n" ); document.write( "\n" ); document.write( "Using the form: ax^2 + bx + c = y, write an equation for each x,y coordinates
\n" ); document.write( "and find the values of a, b, c\r
\n" ); document.write( "\n" ); document.write( "There is an equation that closely satisfies the problem, however a,b,c are not
\n" ); document.write( "integers. Could there be a type here??
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\n" ); document.write( "a(-1^2) + b(-1) + c = 2
\n" ); document.write( " a - b + c = 2
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\n" ); document.write( "a(-5^2) + b(-5) + c = 2
\n" ); document.write( " 25a - 5b + c = 2
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\n" ); document.write( "a(6^2) + b(6) + c = 8
\n" ); document.write( " 36a + 6b + c = 8
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\n" ); document.write( "Using a matrix to solve:
\n" ); document.write( "+1 +1 +1 +2
\n" ); document.write( "25 -5 +1 +2
\n" ); document.write( "36 +6 +1 +8 \r
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\n" ); document.write( "\n" ); document.write( "Using the matrix feature on a TI83 we get: y = .078x^2 + .467x + 2.39
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