She was an early member of the pioneering cooperative A.I.R. Gallery and has participated in many individual and group exhibitions in the United States and abroad. Her work is held in major museum collections including the Metropolitan Museum of Art, New York; the Museum of Modern Art, New York; the National Academy Museum, New York; the National Museum of Women in the Arts, Washington, D.C.; the Palm Springs Art Museum, California; and The Museum of Contemporary Art, Los Angeles. Lasch was given a major retrospective exhibition at The Palm Springs Art Museum, California, in 2017.
She was recently included in “With Pleasure: Pattern and Decoration in American Art 1972–1985” at The Museum of Contemporary Art, Los Angeles, which traveled to the Hessel Museum of Art, Annandale-on-Hudson, New York, in Spring 2021.
She has received The National Academy Museum Award, a Pollock-Krasner Grant, the Rome Prize and a grant from the NEA, to name only a few. In 2015 Lasch was a resident with the Golden Foundation in New Berlin, NY.