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 Thanks

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Question 82347: 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
Thanks

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
y = -(x^2-3x+(3/2)^2)-3+(3/2)^2
y = -(x-(3/2))^2 - 3/4
y+(3/4) = -(x-(3/2))^2
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Axis of symmetry: x=3/2
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Table:
If x=0, y=-3
If x=1, y=-1-3-3=-7
If x=2, y=-4+6-3=-1
If x=-1, y=-1-3-3=-5
If x=-2, y=-4-6-3=-13
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Cheers,
Stan H.

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