In Problem (a) Find the vertex of the graph of the equation, (b) Determine whether the vertex

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In Problem 

(a) Find the vertex of the graph of the equation, 

(b) Determine whether the vertex is a maximum or minimum point, 

(c) Determine what value of x gives the optimal value of the function, 

(d) Determine the optimal (maximum or minimum) value of the function.

f(x) = 6x - x2 

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