SOLUTION: Find the vertex, the line of symestry, the maximum or minimum value of quadratic function, and graph the functions f(x)=-2x^2+2x+3

Question 334220: Find the vertex, the line of symestry, the maximum or minimum value of quadratic function, and graph the functions
f(x)=-2x^2+2x+3
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Complete the square to convert to vertex form, where (h,k) is the vertex.

Vertex:(,)
The vertex lies on the axis of symmetry,.
The vertex value is the function max or min depending on whether the parabola opens upwards or downwards.
The sign of the term determines direction of opening.
Positive upwards, negative downwards.
Since the coefficient is , the parabola opens downwards and the vertex value is a maximum.

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