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Identify the axis of symmetry, create a suitable table of values,and sketch the graph including the axis of symmetry.
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\n" ); document.write( "y = -x^2 + 6x - 2
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\n" ); document.write( "Find the axis of symmetry using the formula: x = -b/(2a)
\n" ); document.write( "In your equation a = 1; b = 6, so we have:
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\n" ); document.write( "x = -6/(2*-1)
\n" ); document.write( "x = -6/-2
\n" ); document.write( "x = +3 is where the axis of symmetry occurs
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\n" ); document.write( "To plot the graph, make table, choose x values below and above the axis of symmetry. Let say from -1 to +7,
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\n" ); document.write( "Here's x = -1 as an example: substitute -1 for x in the original equation to find the value of y
\n" ); document.write( "-(-1^2) + 6(-1) - 2 = y
\n" ); document.write( "-1 - 6 - 2 = -9 is the value of y, I put it in the table
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\n" ); document.write( "Do the same with the other values of x. Make a table like this
\n" ); document.write( "I filled in a couple for you:
\n" ); document.write( " x | y
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\n" ); document.write( "-1 | -9
\n" ); document.write( " 0 |
\n" ); document.write( "+1 | +3
\n" ); document.write( "+2 |
\n" ); document.write( "+3 | +7; axis of symmetry
\n" ); document.write( "+4 |
\n" ); document.write( "+5 | +3
\n" ); document.write( "+6 |
\n" ); document.write( "+7 | -9
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\n" ); document.write( "Plot these values and your graph should look like this:
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\n" ); document.write( "Note that the axis of symmetry will be a vertical line going thru x = 3 and
\n" ); document.write( "the maximum where y = 7
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\n" ); document.write( "Did this make sense to you now? \n" ); document.write( "