Problem

(a) The graph of $y=f(x)$ is transformed to the graph of $y=f(3x)+2$.

Describe fully the two transformations which have been combined to give the resulting graph.

(b) A different graph has equation $y=g(x)$. This graph is stretched by scale factor 3 in the $y$-direction and then reflected in the $y$-axis.

Write down the equation of the transformed graph in terms of the function $g$.