SOLUTION: Find the vertex, the line of symmetry, the maxiumum or minimum value of the quadratic function, and the graph function. {{{ f(x)= -2x^2+2x+2 }}} 1) The x-coordinate of th

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Question 358581: Find the vertex, the line of symmetry, the maxiumum or minimum value of the quadratic function, and the graph function.



1) The x-coordinate of the vertex is?? "simplified fraction"
2) The y-coordinate of the vertex is?? "simplified fraction"
3) The equation of the line of symmetry is x= ??? "simplified fraction"
4) The maximum/minimum of f(x) is ?? "simplified fraction"
5) The value f(1/2)=5/2 is maximum or minimum???
I am lost could someone please help me and show a graph as well please
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

The vertex form of a parabola is  where(h,k) is the vertex





Completing the Square and putting it into the vetex form of a parabola











a = -2   a < 0 parabola opens downward

The x-coordinate of the vertex 1s 1/2

The y-coordinate of the vertex is  5/2

The equation of the line of symmetry is x = 1/2

The maximum f(x) is 5/2

The value f(1/2)=5/2 is maximum 



 

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