He was born in Fort Worth, Texas, where he came of age studying and performing alongside fellow I.M. Terrell High School students John Carter, Ornette Coleman, King Curtis, Charles Moffett, and Dewey Redman.
Lasha moved to California during the 1950s. In the 1960s, he was active in the burgeoning free jazz movement, of which his Fort Worth cohort Ornette Coleman was a pioneer. Lasha recorded with Eric Dolphy (Iron Man and Conversations, both in 1963) and the Elvin Jones/Jimmy Garrison Sextet featuring McCoy Tyner (Illumination! in 1964).