a) Sketch the graph of y = g(x), where g(x) = 2^x.

b) On separate diagrams, sketch the graphs of

i) y = g(x + 2) 

ii) y = g(x) − 1

iii) y = g(x) + 4

Mark on each sketch, where possible, the coordinates of the points where the curve cuts the axes and state the equations of any asymptotes.