There is two convention for showing current-potential graph. one is european and another is american. you can find more details in any electrochemistry book
Negative means the potential of your working electrode is negative with respect to your reference electrode (or just the counter if you have two electrode setup). Keep an open mind that oxidation processes can take place at negative potentials and reduction reaction can happen at positive potentials.
A final note: Oxidation/Reduction processes relates to the current. The direction of the electron flow through the electrode tells you weather the electrode is a cathode or an anode.(see links)
The words cathode and anode do NOT relate to polarization. Example, in a 3-electrode setup, during a potential sweep the current can be both positive and negative depending on which reaction that is taking place. As a result, the electrode is both an anode and a cathode during a sweep.
Is your CV curve a current density versus potential plot? Do you think the question was about CV plots (curves)?
Note that the question was about current density VS potential plots.
Since potential and over potential differ by a constant quantity, one may plot either potential or over potential VS current density. The difference between the two plots will be a shift of the plot parallel to the potential axis.