Energy Change Due to Doppler Shift

deadscientist
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Hello all, so let's suppose a photon is being gravitationally red or blue shifted changing its frequency which ultimately changes its energy, where does this energy change come from?
 
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I believe it's from the potential energy of the system. (Photon + object attracting it)
The photon gains energy and the system loses an equal amount of potential energy or vice versa.
 
Suppose a drop a ball in a gravitational field and it gains kinetic energy. Where does this energy change come from?
 
Thankyou all, answers were very helpful
 
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