I don't know if this question is in the right category but here it is.

Some me children are playing pirate ships. They made catapults that they use with foam balls to attack their enemies. The two ships are 4m apart. Considering the height of the catapult to be zero, here are the results of the first 3 launches. The first launch is too short by 1m and an observer notes that after travelling a distance of 2m, the ball had reached a height of 1m. The second ball reached the mast of the ship at a height of 0.5m and fell to the ground 0.5m beyond the target. During the third launch, an observer notes that the ball reached a maximum height of 3m after traveling a distance of 3m.

a) Determine the standard form of the equation representing the path of the first ball launched( distance as a function of the height)

b) determine the general form of the equation representing the path of the second ball launched.

c) determine the standard form of the equation representing the path of the third ball launched.