In fact, whether transistor, tube or bipolar, you have 3 ways to connect it, with different results.
As a general rule, these are 3 terminal devices, where 1 of them is the input; the 2nd one is the output, and the 3rd is where said audio signals are referenced to, and is therefore called "common", it's often AC grounded..
1) the most common one (pardon the pun):
Emitter goes to ground, you inject signal in the base, you get your amplified signal in the collector (or in all 3 cases the functionally equivalent terminal)
You usually have both voltage and current gain.
2) "common collector", base is input, emitter is output.
You have no voltage gain but a huge current one.
3) "common base": input is emitter, output is collector.
No current gain but some voltage one.
Much used in Radio Frequency circuits because of the extended frequency response and separation between input and output circuits.
No time to draw, maybe somebody can draw all 3 cases and post here.