IB Functions Problem 004
The function \(f(x)\) for \(-2 \leq x \leq 3\) is shown below.

The graph of \(f\) is transformed to obtain the graph of \(g\) shown below.

- Sketch the graph of \(f(-x)\) on the set of axes below.

The function \(g\) can be written in the form \(g(x) = a\,f(x + b)\).
Find the value of \(a\) and the value of \(b\).