Transformations of Graphs - Composite Transformations

The diagram below shows the graph of \(y = \mathrm{f}(x)\).

Sketch each of the following on a separate diagram, clearly indicating the \(y\)-intercept, turning point(s) and asymptote(s).

1. \(y = 3\mathrm{f}(x + 2) - 1\)[3]
2. \(y = -\mathrm{f}(x + 1) + 1\)[3]
3. \(y = \mathrm{f}(-x - 1) + 2\)[3]
4. \(y = \mathrm{f}(2x + 4) - 1\)[3]