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Answer :
Given that the directrix of the parabola is at y = -8 and the focus is at point (8, 16), this means that the parabola opens upwards and the x part of the equation of the parabola is squared. The x-value of the vertex of a parabola is the same as the x-value of the focus while the y-value of the vertex is half the sum of y-values of the focus and the directrix. Therefore, the vertex of the given parabola is (8, (16 - 8)/2) = (8, 8/2) = (8, 4).
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