SOLUTION: Solve: For the function given by f(x)= 2x^2 - 12x + 23. First find the vertex and the axis of symmetry, then graph the function

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve: For the function given by f(x)= 2x^2 - 12x + 23. First find the vertex and the axis of symmetry, then graph the function      Log On


   



Question 264817: Solve:
For the function given by f(x)= 2x^2 - 12x + 23. First find the vertex and the axis of symmetry, then graph the function

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
For the function given by f(x)= 2x^2 - 12x + 23. First find the vertex and the axis of symmetry, then graph the function
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Put in vertex form by completing the square:
f(x)= 2x^2 - 12x + 23
Rearrange:
2x^2 - 12x = y-23
2(x^2 - 6x + ?) = y-23 + 2?
2(x^2-6x+9) = y-23+18
2(x-3)^2 = y-5
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Vertex: (3,5)
Axis of symmetry: x = 3
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E2-12x%2B23%29
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Cheers,
Stan H.