EDIT: I see, the article says it all :) My fault.
You might be right, but I seem to remember that we have to include the imaginary components also.
The frequency response is symmetrical around f = 0, for this case. And using modulation, the signal would be positioned at a frequency f = f0 (where f0 is the carrier wave), with a symmetrical shape like the picture around this frequency. The bandwidth of the signal would then be 2*fc.