document.write( "Question 300811: How to solve and graph the quadraic function. Find the vertex, axis and is it wider or narrower than x^2
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Algebra.Com's Answer #215772 by Edwin McCravy(20055)\"\" \"About 
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How to solve and graph the quadraic function. Find the vertex, axis and is it wider or narrower than x^2\r
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document.write( "1. Find the x-coordinate of the vertex by evaluating \"-b%2F%282a%29\"\r\n" );
document.write( "2. Find the y-coordinate of the vertex by substituting the value of the \r\n" );
document.write( "x-coordinate found in step 1 for x in the equation \"%22f%28x%29%22=ax%5E2%2Bbx%2Bc\"\r\n" );
document.write( "3. The axis of symmetry is the vertical line whose equation is \"x=-b%2F%282a%29\"\r\n" );
document.write( "4. A: If \"abs%28a%29+%3C+1\", the parabola is wider than the graph of the parabola\r\n" );
document.write( "      whose equation is \"%22f%28x%29%22+=+x%5E2\".  \r\n" );
document.write( "   B: If \"abs%28a%29+%3E+1\", the parabola is narrower than the graph of the\r\n" );
document.write( "      parabola whose equation is \"%22f%28x%29%22+=+x%5E2\".\r\n" );
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document.write( "1. \"-b%2F%282a%29=-%288%29%2F%282%282%29%29=-8%2F4=-2\"\r\n" );
document.write( "2. \"%22f%28-2%29%22=2%28-2%29%5E2%2B8%28-2%29%2B3=2%284%29-16%2B3=8-16%2B3=-5\"\r\n" );
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document.write( "So the vertex is \"%22%28-2%2C-5%29%22\"\r\n" );
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document.write( "3. \"x=-2\"\r\n" );
document.write( "4. \"abs%282%29%3E1\", narrower\r\n" );
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document.write( "The graph of \"%22f%28x%29%22=2x%5E2%2B8x%2B3\" is in red.\r\n" );
document.write( "The graph of \"%22f%28x%29%22=x%5E2\" is in green. \r\n" );
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document.write( "\"graph%28400%2C400%2C-6%2C4%2C-7%2C3%2C2x%5E2%2B8x%2B3%2Cx%5E2%29\"  \r\n" );
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document.write( "Edwin
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