SOLUTION: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function f(x)=2x^2-8x+19

Question 329090: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function f(x)=2x^2-8x+19
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Complete the square to convert to vertex form, where the vertex is (h,k).

Comparing,
(h,k)=(2,11)
The vertex lies on the axis of symmetry, .
The vertex y value is the function's max or min value.
The sign of the coefficient determines whether it's max or min.
Since the coefficient of is positive, the parabola opens upward and the vertex value is a minimum.

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