PHOENIX — Inside a worn-down building on the edge of downtown, a rambling mural that covered nearly the length of one wall looked like something a traveling artist might have painted for the sole purpose of settling a bar tab — as many here suspect was the case.

The 65-year-old mural, a tribute to alcohol, depicted guards armed with shotguns overseeing a still; women hovering like ghosts, a glass in each hand; and a dancer with one leg raised high, bloomers in full view. Even to the best-trained eye, it did not look like much. But the work represented a rare link to its creator, Ted DeGrazia, a wildly prolific artist born when Arizona was just a territory, whose career followed a trajectory that in many ways paralleled the ascent of the region that served as his muse.

Just as Mr. DeGrazia’s legacy faded after his death in 1982, the mural, along with a smaller one in the same building, was largely ignored for years. But the murals began to draw attention recently when the building was condemned to make way for new construction. The developer plans to turn the site into a luxury apartment complex, loaded with amenities like a fitness center, a pool and rooftop decks with sweeping views to entice the millennials who have been flocking to the city’s downtown.