First of all, uhm, yes, the graphics card has to be powered in order to work.
Second, you should NOT use the PCIe-to-molex adapter cables, if that's what you're talking about.
Your power supply should have actual PCIe connectors that fit into the GPU power. If it doesn't, then you have a problem in that it would be a very low end power supply and more than likely not able to power your system safely.