document.write( "Question 1060415: I need your assistance to help find the quadratic function that models the data below please.\r
\n" ); document.write( "\n" ); document.write( "xI -3 -2 -1 0 1 2 3 4 5 6 7 8 9
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\n" ); document.write( "yI 54 26 -8 0 2 14 36 68 110 162 224 296 378\r
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\n" ); document.write( "\n" ); document.write( "I need help with this please. When I look at this all i'm seeing is a chart I don't know how I would work this out
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Algebra.Com's Answer #675485 by MathTherapy(10551)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "I need your assistance to help find the quadratic function that models the data below please.\r
\n" ); document.write( "\n" ); document.write( "xI -3 -2 -1 0 1 2 3 4 5 6 7 8 9
\n" ); document.write( "-----------------------------------------------------------------------
\n" ); document.write( "yI 54 26 -8 0 2 14 36 68 110 162 224 296 378\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I need help with this please. When I look at this all i'm seeing is a chart I don't know how I would work this out
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The EASIEST way to do this is to take the 3 EASIEST points to get the quadratic function. These points are: (0, 0), (- 1, - 8), and (1, 2)				
\n" ); document.write( "Quadratic function: \"matrix%281%2C3%2C+f%28x%29+=+ax%5E2+%2B+bx+%2B+c%2C+or%2C+ax%5E2+%2B+bx+%2B+c+=+0%29\"
\n" ); document.write( "(0, 0)
\n" ); document.write( "\"ax%5E2+%2B+bx+%2B+c+=+y\"
\n" ); document.write( "\"a%280%29%5E2+%2B+b%280%29+%2B+c+=+0\" --------- Substituting point (0, 0) for (x, y)
\n" ); document.write( "0 + 0 + c = 0____\"highlight%28c+=+0%29\" ------ eq (i)\r
\n" ); document.write( "\n" ); document.write( "(- 1, - 8)
\n" ); document.write( "\"ax%5E2+%2B+bx+%2B+c+=+y\"
\n" ); document.write( "\"a%28-+1%29%5E2+%2B+b%28-+1%29+%2B+0+=+-+8\" ---- Substituting point (- 1, - 8) for (x, y), and 0 for c
\n" ); document.write( "a - b = - 8 ----- eq (ii)\r
\n" ); document.write( "\n" ); document.write( "(1, 2)
\n" ); document.write( "\"ax%5E2+%2B+bx+%2B+c+=+y\"
\n" ); document.write( "\"a%281%29%5E2+%2B+b%281%29+%2B+0+=+2\" --------- Substituting point (1, 2) for (x, y), and 0 for c
\n" ); document.write( "a + b = 2 ------- eq (iii)
\n" ); document.write( "2a = - 6 -------- Adding eqs (ii) & (iii)
\n" ); document.write( "\"highlight%28matrix%281%2C3%2C+a+=+%28-+6%29%2F2%2C+or%2C+-+3%29%29\" \r
\n" ); document.write( "\n" ); document.write( "- 3 + b = 2 ------- Substituting - 3 for a in eq (iii)
\n" ); document.write( "\"highlight%28b+=+5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+ax%5E2+%2B+bx+%2B+c\"
\n" ); document.write( "\"f%28x%29+=+-+3x%5E2+%2B+5x+%2B+0\" ------- Substituting - 3 for a, 5 for b, and 0 for c
\n" ); document.write( "Quadratic function: \"highlight%28highlight_green%28highlight%28f%28x%29+=+-+3x%5E2+%2B+5x%29%29%29\" \n" ); document.write( "
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