Difficulty with log and ploting log

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The plot command accepts a plotting range, which defaults to (-1, 1).

With a logarithm involved, only the positive part produces a plot.

To plot from 0 to 2:

sage: plot(f, (0, 2))

instead of giving me ln(x) - ( x - 2)^2, it gives me log(x) - (x-2)^2 for some reason

lnis a synonym oflog` :

sage: ln
log

when i try to plot

On what range ?

the funtion it is zoomed in too much(it only shows me form -1 to 1)

Well... f is real-valued but for x>0 :

sage: f(x).limit(x=0)
Infinity
sage: f(-1)
I*pi - 9

HTH,