Describe fully a sequence of three transformations which can be combined to transform the graph of \(y = \sin x\) for \(0 \leq x \leq \frac{1}{2}\pi\) to the graph of \(y = f(x)\), where \(f(x) = 3 + 2 \sin \frac{1}{4}x\), making clear the order in which the transformations are applied.