Within the Star Trek narrative, they are native to the blue icy Class M moon, Andoria (sometimes referred to as Andor[1]).
They were indicated to be a vital, important member of the United Federation of Planets in the 1997 Star Trek: Deep Space Nine episode "In the Cards", but did not gain considerable exposure until the 2001–2005 series Star Trek: Enterprise, on which they were used as recurring characters, most notably in the person of Thy'lek Shran, a starship commander who maintained a sometimes adversarial and begrudging friendship with Enterprise Captain Jonathan Archer.
By the time of the 2001 – 2005 TV series Star Trek: Enterprise, the antennae were depicted as protruding from the forehead, and capable of movement, used for gesturing and balancing.
The design of Andorians has changed with every new production; including the placement of their antennae, additional makeup appliances, and the blue shade of their skin.
In a DVD bonus feature for the 4th season of Enterprise, episode writers Judith and Garfield Reeves-Stevens stated that Andor was the gas giant, Andoria the moon, and that this was a conscious effort to address the discrepancy, but continued varying usage across canon, reference, and licensed sources have not fully resolved the discrepancy.