1. The graph $y=f(x)$ is transformed in the following order:

1. A translation by $(\begin{matrix}2\\0\end{matrix})$

2. A reflection in the $y$-axis

3. A vertical stretch by a scale factor of $\frac{2}{3}$

4. A translation by $(\begin{matrix}0\\4\end{matrix})$

Find the equation of the graph after these transformations, in terms of $f(x)$.