Consider the following equation.

y = 4 + 2x x²

(a) Find the vertex of the graph of the equation. Use the vertex formula.

(x, y) =

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

maximum = This is a maximum point

minimum

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

x =

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

y =