SOLUTION: Tutor, I have one last problem and I am having difficulty getting the answer. I think I am wrong on the negatives and possitives. My graph does not look right. Indetify

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Tutor, I have one last problem and I am having difficulty getting the answer. I think I am wrong on the negatives and possitives. My graph does not look right. Indetify       Log On


   

Question 104023: Tutor,
I have one last problem and I am having difficulty getting the answer. I think I am wrong on the negatives and possitives. My graph does not look right.
Indetify the axis of symmetry and create a table of values and graph.
y= -x^2 + 6x - 2
My answer does not look right to me could you please help me with this? Thank you in advance.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Indentify the axis of symmetry and create a table of values and graph.
y= -x^2 + 6x - 2
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B6x-2%29
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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.