document.write( "Question 89934: identify the axis of symmetry, create a suitable table of values,and sketch the graph including t he axis of symmetry.\r
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Algebra.Com's Answer #65295 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "Identify the axis of symmetry, create a \r\n" );
document.write( "suitable table of values,and sketch the \r\n" );
document.write( "graph including the axis of symmetry. \r\n" );
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document.write( "y = \r\n" );
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document.write( "Make this table:\r\n" );
document.write( " x  | y\r\n" );
document.write( "---------\r\n" );
document.write( " -1 | 9 \r\n" );
document.write( "  0 | 3\r\n" );
document.write( "  1 |-1\r\n" );
document.write( "  2 |-3\r\n" );
document.write( "  3 |-3\r\n" );
document.write( "  4 |-1\r\n" );
document.write( "  5 | 3\r\n" );
document.write( "  6 | 9\r\n" );
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document.write( "Plot those 9 points:\r\n" );
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document.write( "Now draw a smooth U-shaped curve through them. \r\n" );
document.write( "Even though those bottom two points are side by\r\n" );
document.write( "side, make sure you draw the curve down below\r\n" );
document.write( "the first one and then back up through the\r\n" );
document.write( "second one.\r\n" );
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document.write( "This curve is called a parabola. \r\n" );
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document.write( "Now let's get the axis of symmetry.\r\n" );
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document.write( "Rule:\r\n" );
document.write( "The axis of symmetry of the graph of\r\n" );
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document.write( "y = \r\n" );
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document.write( "is the vertical line whose equation is x = \r\n" );
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document.write( "In your problem\r\n" );
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document.write( "y = \r\n" );
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document.write( "a = 1, b = -5 and c = 3\r\n" );
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document.write( "So the axis of symmetry is the vertical \r\n" );
document.write( "line whose equation is\r\n" );
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document.write( "x = \r\n" );
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document.write( "x = \r\n" );
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document.write( "x = \r\n" );
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document.write( "or as a decimal:\r\n" );
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document.write( "x = 2.5\r\n" );
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document.write( "It's the green vertical line below:\r\n" );
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document.write( "You weren't asked for the vertex, the point at \r\n" );
document.write( "the very bottom of this parabola, but you can\r\n" );
document.write( "find it by solving the system of equations consisting\r\n" );
document.write( "of the equation of the parabola and the equation of\r\n" );
document.write( "the axis of symmetry:\r\n" );
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document.write( "y = \r\n" );
document.write( "x = 2.5\r\n" );
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document.write( "Substituting 2.5 for x in the first equation\r\n" );
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document.write( "y = \r\n" );
document.write( "y = \r\n" );
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document.write( "So the vertex is the point (2.5,-3.25)\r\n" );
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document.write( "Edwin

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