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Mathematics (AS & A Level) · Feb / March 2023 · Paper 12 · Question 2

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A function f is defined by fx = x2 −2x + 5 for x ∈>. A sequence of transformations is applied in the following order to the graph of y = fx to give the graph of y = gx . Stretch parallel to the x-axis with scale factor 1 2 Reflection in the y-axis Stretch parallel to the y-axis with scale factor 3 Find gx , giving your answer in the form ax2 + bx + c, where a, b and c are constants. [4]

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