It is given that f(x) = 4 + 8x - x².

a. Find the value of a and of b for which f(x) = a - (x + b)² and hence write down the coordinates of the stationary point of the curve y = f(x).

b. On the axes below, sketch the graph the y = f(x), showing the coordinates of the point where your graph intersects the y-axis.

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y