The parabola with equation y = 18x − x2 passes through the origin and its focus lies at (9, f ). (a)  Explain why the vertex of this parabola lies at (9, 81) (b)  Given that the focus is at (9,f), find the equation of the directrix. Your equation will involve f. (c)  Using the fact that the origin lies on this parabola, together with the expressions for the focus and directrix, find the value of f.

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A: Here is the solution

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