Firstly,
the original asymptote is y=-1, so for part (iii) the curve approaches 4^-1 = 0.25
@ y axis (original curve), x=.5, so for part (iii) the curve = 4^.5 = (0,2)
@ x axis, x=0 (original curve), so for part (iii) the curve = 4^0 = 1 @ both (0,1) and (0,-1)
then you just join the dots...