SOLUTION: I am not good at this and need some help Identify the axis of summetry, create a suitable table of values and then sketch the graph (include the axis of summetry) y=-x^2+3x-3

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Question 94325: I am not good at this and need some help
Identify the axis of summetry, create a suitable table of values and then sketch the graph (include the axis of summetry)
y=-x^2+3x-3
Thank you
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Identify the axis of summetry, create a suitable table of values and then sketch the graph (include the axis of summetry)
y=-x^2+3x-3
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Complete the square on the x terms:
x^2-3x+? = -y-3+?
x^2-3x+(3/2)^2 = -y-3+(3/2)^2
(x-(3/2))^2 = -y+(3/2)
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Axis of symmetry: x= 3/2
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Values :y=-x^2+3x-3
If x = 0 , y = -3
If x = 1, y = -1
If x=2, y=-4+6-3= -1
If x=3, y = -9+9-3 = -3
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Cheers,
Stan H.