document.write( "Question 107371: I need help with this kind of problem:
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Algebra.Com's Answer #853680 by MathTherapy(10692)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I need help with this kind of problem:\r\n" );
document.write( "Find the vertex, the y-intercept, and symmetric point, and use these to sketch a graph.\r\n" );
document.write( "y=2x^2 -11x -12\r\n" );
document.write( "I am having problems solving for the vertex.\r\n" );
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document.write( "Formula for the x-coordinate of the vertex of a parabola: \"x+=+-+b%2F%282a%29\" \r\n" );
document.write( "\"y+=+highlight%282%29x%5E2+%2A+highlight_green%28-+11%29x+-+12\". Compare to:\r\n" );
document.write( "\"y+=+highlight%28a%29x%5E2+%2A+highlight_green%28b%29x+%2B+c\"\r\n" );
document.write( "In this case, b = - 11, and a = 2.\r\n" );
document.write( "So, the x-coordinate of the vertex of THIS parabola is:\"-+%28-+11%29%2F%282%2A2%29+=+11%2F4\"\r\n" );
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document.write( "Now, substitute the x-value into the ORIGINAL equation to get the y-coordinate of the vertex, as follows: \r\n" );
document.write( "\"y+=+2x%5E2+-+11x+-+12\"\r\n" );
document.write( "\"y+=+2%2811%2F4%29%5E2+-+11%2811%2F4%29+-+12\"\r\n" );
document.write( "\"y+=+2%28121%2F16%29+-+121%2F4+-+12\"\r\n" );
document.write( "\"y+=+121%2F8+-+121%2F4+-+12\"\r\n" );
document.write( "\"y+=+%28121+-+242+-+96%29%2F8\"\r\n" );
document.write( "\"y+=+%28-+217%29%2F8\" <==== y-coordinate of the vertex of THIS parabola\r\n" );
document.write( "Vertex of parabolic equation, \"matrix%281%2C3%2C+y%2C+%22=%22%2C+2x%5E2+-+11x+-+12%29\": 
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