Transform a piecewise curve and crop to the requested interval

(i) State transformations taking $y=x^2$ to $y=\frac14(x-3)^2$.

Define

$$f(x)=\begin{cases}1,&0\le x\le1,\\ \frac14(x-3)^2,&1<x\le3,\\0,&\text{otherwise}.\end{cases}$$

(ii) Sketch f for −1≤x≤4.

(iii) Separately sketch $y=1+f(x/2)$ for −1≤x≤4.