document.write( "Question 1008243: Solve the exercise by solving a system of equations.\r
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Algebra.Com's Answer #624006 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You want to find the equation of this parabola. Scroll down:\r\n" );
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document.write( "(2, 4),(-2, 8),and (1, -4)\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"ax%5E2%2Bbx%2Bc\"\r\n" );
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document.write( "For the point (2, 4), substitute x = 2 and y = 4\r\n" );
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document.write( "\"4\"\"%22%22=%22%22\"\"a%282%29%5E2%2Bb%282%29%2Bc\"\r\n" );
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document.write( "For the point (-2, 8), substitute x = -2 and y = 8\r\n" );
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document.write( "\"8\"\"%22%22=%22%22\"\"a%28-2%29%5E2%2Bb%28-2%29%2Bc\"\r\n" );
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document.write( "For the point (1, -4), substitute x = 1 and y = -4\r\n" );
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document.write( "\"-4\"\"%22%22=%22%22\"\"a%281%29%5E2%2Bb%281%29%2Bc\"\r\n" );
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document.write( "That gives us the system of three equations in three\r\n" );
document.write( "unknowns a,b, and c\r\n" );
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document.write( "Simplify those equations:\r\n" );
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document.write( "\"system%284=4a%2B2b%2Bc%2C8=4a-2b%2Bc%2C-4=a%2Bb%2Bc%29\"\r\n" );
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document.write( "Swap the sides of the equations so the system will look \"normal\":\r\n" );
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document.write( "\"system%284a%2B2b%2Bc=4%2C4a-2b%2Bc=8%2Ca%2Bb%2Bc=-4%29\"\r\n" );
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document.write( "Solve that by elimination.  Then substitute the values you get\r\n" );
document.write( "for a, b, and c in \r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"ax%5E2%2Bbx%2Bc\"\r\n" );
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document.write( "If you run into any trouble finishing, ask me in the thank-you note \r\n" );
document.write( "form below, and I'll get back to you by email.  \r\n" );
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document.write( "Edwin
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