Anyone, please jump in and correct me if I'm wrong, but I'm going to give this my best shot...
The funny thing about photons is that they have zero mass. So, therefore, they need no energy to accelerate, if you think about it in a classical physics kind of way.
Indeed in Newtonian physics, F = ma, states that given a force F, an object will accelerate at a rate directly proportional to that Force and inversely proportional to its mass. If it has zero mass, you need no force. However, it is probably improper to apply a Newtonian concept in Quantum physics.
Also, according to Newtonian physics, once an object is moving, it requires no more Force to keep it moving.
In a quantum sense, photons exhibit wave-like and particle-like properties. If you consider the wave-like properties, a photon is propagated through alternating electric and magnetic (electromagnetic) fields. Because an electric field will create a magnetic field at right angles and vice versa, the waves will continue to propagate through any medium, even a vacuum.
It's something like this:

One wave is the electric field and one is the magnetic field. As the electric field maximizes, the magnetic field is at 90-degrees. In this way, they can propagate without requiring energy, however, the magnitude of the wave diminishes as light spreads out.
I hope this helps.
-StarNerd