SOLUTION: Identity the axis of symmetry and create a suitable table of values. Please help - I am having a hard time understanding these! y = -x^2 + 3x - 3 Thank you!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Identity the axis of symmetry and create a suitable table of values. Please help - I am having a hard time understanding these! y = -x^2 + 3x - 3 Thank you!      Log On


   



Question 42638: Identity the axis of symmetry and create a suitable table of values.
Please help - I am having a hard time understanding these!
y = -x^2 + 3x - 3
Thank you!

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
The axis of symmetry is the line that when you fold the parabola over it, you get a perfect side matching the other side. Since the equation shows a vertical parabola, the x-value of the vertex determines the axis of symmetry.
Vertex = ((-b/2a),f(x)) = ((3/2),f(x))
Axis Of Symmetry: x+=+1.5
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+-x%5E2+%2B+3x+-+3%29+