The name Brandi is derived from the French term "brandir," which means "to brandish" or "to wave." This term has its roots in the Old French word "bran," meaning a sword or a brand. The name Brandi likely originated as a nickname or a descriptive term for someone who was skilled in wielding a sword or other weapon.

During the Middle Ages, the name Brandi was primarily used as a masculine name in France and other parts of Europe. One of the earliest known references to the name can be found in the 12th-century French epic poem "La Chanson de Roland" (The Song of Roland), where a character named Brandi is mentioned as a knight in Charlemagne's army.

Over time, the name Brandi transitioned into a feminine form, particularly in English-speaking countries. It gained popularity as a given name for girls in the 20th century, though its usage can be traced back to the 19th century.

One of the earliest recorded examples of the name Brandi as a feminine given name is Brandi Elyse (1890-1976), an American actress and vaudeville performer who was active during the early 20th century. Another notable figure with this name was Brandi Chastain (born 1968), an American former soccer player who famously celebrated her game-winning penalty kick in the 1999 FIFA Women's World Cup by removing her jersey.

In literature, the name Brandi appears in the works of several authors, including the character Brandi Leigh Quartermann in the novel "The Accidental Tourist" by Anne Tyler (1985). Additionally, the name was used for the character Brandi Svenning in the novel "Less Than Zero" by Bret Easton Ellis (1985).

Other notable individuals with the first name Brandi include Brandi Glanville (born 1972), an American television personality and author, and Brandi Carlile (born 1981), an American singer-songwriter and multiple Grammy Award winner.

Overall, the name Brandi has evolved from its roots as a masculine French term associated with swordsmanship to a popular feminine given name in modern times, particularly in English-speaking countries.