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Feb/Mar 2023 p12 q2
662
A function f is defined by \(f(x) = x^2 - 2x + 5\) for \(x \in \mathbb{R}\). A sequence of transformations is applied in the following order to the graph of \(y = f(x)\) to give the graph of \(y = g(x)\).
1. Stretch parallel to the x-axis with scale factor \(\frac{1}{2}\)
2. Reflection in the y-axis
3. Stretch parallel to the y-axis with scale factor 3
Find \(g(x)\), giving your answer in the form \(ax^2 + bx + c\), where \(a, b\) and \(c\) are constants.
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