1. A curve has equation $y=f(x)$.

Write down the equations of the curves, in terms of $f$$(x)$, given by the following transformations:

(i) Translation by the vector $(\begin{matrix}3\\0\end{matrix})$,

(ii) Horizontal stretch, scale factor 2,

(iii) Vertical stretch, scale factor $\frac{1}{3}$,

(iv) Reflection in the $y$-axis.