SOLUTION: f(x) = -2x2 + 8x -1 find the cooordinates of the vertex for the parabola defined by the given quadratic function.

Algebra ->  Graphs -> SOLUTION: f(x) = -2x2 + 8x -1 find the cooordinates of the vertex for the parabola defined by the given quadratic function.      Log On


   

Question 337530: f(x) = -2x2 + 8x -1 find the cooordinates of the vertex for the parabola defined by the given quadratic function.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square to convert to vertex form, y=a%28x-h%29%5E2%2Bk where (h,k) is the vertex.
f%28x%29=-2x%5E2%2B8x-1
f%28x%29=-2%28x%5E2-4x%29-1
f%28x%29=-2%28x%5E2-4x%2B4%29-1%2B8
f%28x%29=-2%28x-2%29%5E2%2B7
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Vertex:(2,7)