Question 104023
Indentify the axis of symmetry and create a table of values and graph. 
y= -x^2 + 6x - 2 
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{{{graph(400,300,-10,10,-10,10,-x^2+6x-2)}}}
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Table:
If x=0, y=-2
If x=1, y=3
If x=2, y=6
If x=3, y=7
If x=4, y=6
If x=5, y=3
etc.
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Axis of symmetry:
-x^2+6x = y+2
-(x^2-6x+?) = y+2+?
Complete the square on the x-terms:
-(x^2-6x+9) = y+2-9
Factor:
-(x-3)^2 = y-7
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Vertex: (3,7)
Axis: x = 3
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Cheers,
Stan H.