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9709 P13 - Nov 2023 - Q8B - 3 marks
552

Another curve, with equation \(y = f(x)\), has a single stationary point at the point \((p, q)\), where \(p\) and \(q\) are constants. This curve is transformed to a curve with equation

\(y = -3f\left(\frac{1}{4}(x + 8)\right).\)

For the transformed curve, find the coordinates of the stationary point, giving your answer in terms of \(p\) and \(q\).

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