a) Sketch the graph of y = f(x), where f(x) = (x + 1)(x − 3).

b) On separate diagrams, sketch the graphs of

i) y = f(x) + 1

ii) y = f(x + 3)

iii) y = f(x − 1).

Mark on each sketch, where possible, the coordinates of the points
where the curve cuts the axes.