9758/2019/P1/Q03

A function is defined as $f(x)=2 x^{3}-6 x^{2}+6 x-12$.

(i) Show that $\mathrm{f}(x)$ can be written in the form $p\{(x+q)^{3}+r\}$, where $p, q$ and $r$ are constants to be found.

(ii) Hence, or otherwise, describe a sequence of transformations that transform the graph of $y=x^{3}$ onto the graph of $y=f(x)$.