Graphs have gotten trickier since NI introduced the Waveform data type a few versions back. There are now even more graph configuration gotchas than there used to be, and there used to be plenty!
Right-click on your graph and see if "Ignore Time Stamp" is checked. If so, that's the reason your data is being plotted starting at t=0 (if, indeed, that's the behavior you're seeing).
If instead you're seeing your data being plotted at absolute times on January 1, 1904, then the time stamp isn't being ignored, but it is being treated in an absolute manner (elapsed time since 1/1/1904). This will be apparent if you right-click on the graph, choose X Scale >> Formatting, and see "Absolute time" selected in the listbox. You can override this by choosing "Relative time" instead, or any of the options at the top.
If you don't care so much about absolute time when managing your datasets, then you might want to avoid the Waveform data type altogether. The good old Waveform Graph is also plenty happy to take non-Waveform inputs. Check out the Waveform Graph.vi example that ships with LabVIEW to see what I'm talking about.
Hope that helps,
John