SOLUTION: Find the vertex and the axis of symmetry for the parabola with the given equation. y=5x^2-30x+47

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the vertex and the axis of symmetry for the parabola with the given equation. y=5x^2-30x+47      Log On


   



Question 94713: Find the vertex and the axis of symmetry for the parabola with the given equation.
y=5x^2-30x+47

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertex and the axis of symmetry for the parabola with the given equation.
y=5x^2-30x+47
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Complete the square on the x-terms:
5(x^2-6x+? = y-47+5*?
5(x^2-6x+9) = y-47 + 45
5(x-3)^2 = y-2
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Axis of symmetry: x=3
Vertex: (3,2)
graph%28400%2C300%2C-10%2C10%2C-10%2C50%2C5x%5E2-30x%2B47%29
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Cheers,
Stan H.