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At point A :

height = h

gravity = g

so, potential energy = mgh

Now, kinetic = 1/2mv²

as v = 0

kinetic energy = 1/2 m * 0² = 0

TOTAL ENERGY = P + K =mgh

Now, at point b:

potential energy = mgh

h = h- x

so potential energy = mg(h-x)

kinetic energy = 1/2mv²

v² - u² =2gx

v² = 2gx

so, total energy = p +k =mgh

Now, at point C :

potential energy = 0

as h = 0

kinetic energy = 1/2mv'²

v'² - u² =2gh

v'² = 2gh

kinetic energy = mgh

so, total energy = mgh

In all three point energy is conserved as at all point energy is mgh.

Energy can neither be created nor destroyed. It can only be converted from one form to the other.