For which film did Jane Fonda receive her first Academy Award nomination?

Jane Seymour Fonda (born December 21, 1937) is an American actress, political activist, and former fashion model. She is the recipient of various accolades including two Academy Awards, two BAFTA Awards, seven Golden Globe Awards, a Primetime Emmy Award, the AFI Life Achievement Award, and the Honorary Golden Lion.

Fonda made her acting debut in the 1960 Broadway play "There Was a Little Girl", for which she received a nomination for the Tony Award for Best Featured Actress in a Play. She rose to prominence in the 1960s with such films as "Period of Adjustment" (1962), "Sunday in New York" (1963), "Cat Ballou" (1965), "Barefoot in the Park" (1967), and "Barbarella" (1968).

A seven-time Academy Award nominee, she received her first nomination for "They Shoot Horses, Don't They?" (1969), and went on to win two Best Actress Oscars in the 1970s for "Klute" (1971) and "Coming Home" (1978).

"They Shoot Horses, Don't They?" is a 1969 American drama film directed by Sydney Pollack, starring Jane Fonda, Michael Sarrazin, Susannah York, Red Buttons, Bruce Dern, Bonnie Bedelia and Gig Young. The screenplay, adapted from Horace McCoy's 1935 novel of the same name, was written by James Poe and Robert E. Thompson. The film focuses on a disparate group of characters desperate to win a Depression-era dance marathon and the opportunistic emcee who urges them on to victory.