BJT (Common-Collector Configuration)
The diagram you found is just plain wrong. But it's difficult to reason about because it's drawn upside down compared to how we usually draw circuit diagrams. Once you are used to the usual circuit conventions it is much easier to understand a schematic drawn with higher potential nodes near the top and lower potential nodes near the bottom of the drawing.

Here's a typical common collector circuit with an NPN transistor, drawn "right-side up":







simulate this circuit &ndash; Schematic created using CircuitLab

I've chosen arbitrary voltage values, but you are correct to say that the collector must be biased higher than the base, not lower. Similarly, the emitter will end up biased slightly lower than the base.