I have found the property which was preventing the ScopeChart and StripChart functions from working.
In the Plots Collection of the Waveform Graph. There is a property in the "Behavior" section called "CanScaleXAxis". This property was set to False and this was not allowing the X-Axis to change values with these other modes. Setting this property to True made both the StripChart and ScopeChart modes for the X-Axis work properly. I must have accidentally set this property to False when I was initially configuring the graphs.
Thank you for all who assisted me. I went ahead and attached my test program again which now contains a Default graph, my original graph, and my fixed graph for reference. These all had the X-Axis Mode of the Plot set to StripChart.
Thanks,
Jared