SOLUTION: Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry). y=-x^2+3x-3 Wow, do I really need help. Thank you!

Question 110038: Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry).
y=-x^2+3x-3
Wow, do I really need help. Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry).
y=-x^2+3x-3
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Complete the square on the x-terms and keep the equation balanced:
-x^2+3x = y+3
-(x^2-3x+(3/2)^2) = y+3-(3/2)^2
-(x-(3/2))^2 = y+(3/4)
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Axis of Symmetry: x=(3/2)
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Table:
x=0, then y = -3
x=1, then y = -1
x=2, then y = -1
x=3, then y = -3
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Graph:

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Cheers,
Stan H.

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