Studying weak nuclear responses, especially the Gamow-Teller (GT) transitions starting from stable as well as unstable nuclei, provide crucial and critical information on nuclear structure. Therefore, the study of GT transitions is a key issue in nuclear physics and also nuclear-astrophysics. Under the assumption of isospin symmetry, it is expected that the structure of mirror nuclei and the GT transitions starting from their ground states are identical. We have studied the corresponding GT transitions starting from T z = ±1 and ±2 pf -shell nuclei, respectively, by means of hadronic ( 3 He, t) charge-exchange reactions and mirror β decays. The results on GT strength distributions measured in β decays and ( 3 He, t) reactions performed at an intermediate incident energy of 140 MeV/nucleon and 0 • are compared. The combined results help provide an understanding of nuclear structure of nuclei far-from-stability.