We measured the magnetization depth profile of a (La1-xPrx)1-yCayMnO3 (x = 0.60\pm0.04, y = 0.20\pm0.03) film as a function of applied bending stress using polarized neutron reflectometry. From these measurements we obtained a coupling coefficient relating strain to the depth dependent magnetization. We found application of compressive (tensile) bending stress along the magnetic easy axis increases (decreases) the magnetization of the film.