document.write( "Question 81199: Graph y=3x^2-5x-9. Also find the vertex \n" ); document.write( "
Algebra.Com's Answer #58203 by Edwin McCravy(20060)\"\" \"About 
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document.write( "Graph y = \"3x%5E2\" - \"5x\" - 9. Also find the vertex\r\n" );
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document.write( "a = 3, b = -5, c = -9\r\n" );
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document.write( "Let's find the vertex (h,k) first, where\r\n" );
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document.write( "h = \"-b%2F%282a%29\" and k = \"ah%5E2\" + \"bh\" + \"c\"\r\n" );
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document.write( "and then the y-intercept (0,c)\r\n" );
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document.write( "h = \"-%28-5%29%2F%282%2A3%29\" = \"5%2F6\"\r\n" );
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document.write( "k = \"3%285%2F6%29%5E2\" + \"-5%285%2F6%29\" + \"-9\" \r\n" );
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document.write( "k = \"3%2825%2F36%29\" + \"-25%2F6\" - \"9\"\r\n" );
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document.write( "k = \"25%2F12\" - \"25%2F6\" - \"9\"\r\n" );
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document.write( "k = \"25%2F12\" - \"50%2F12\" - \"108%2F12\"\r\n" );
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document.write( "k = \"-133%2F12\" \r\n" );
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document.write( "So the vertex is (h,k) = (\"5%2F6\", \"-133%2F12\")\r\n" );
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document.write( "or for plotting purposes approximately (.8, -11.1)\r\n" );
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document.write( "the y-intercept (0,c) = (0,-9)\r\n" );
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document.write( "So plot the vertex and the y-intercept\r\n" );
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document.write( "Draw the left half of the parabola through the\r\n" );
document.write( "y-intercept and bottoming out at the vertex:\r\n" );
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document.write( "Then draw the right half to match the left half:\r\n" );
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document.write( "Edwin
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