(a) Find the vertex of the graph of the equation, (b) Determine if the vertex is a...

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

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

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

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

1. y = ½ x2 + x

2. y = x2 - 2x

3. y = 8 + 2x - x2

4. y = 6 - 4x - 2x2

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