Each quest has goals. There can be 1 or multiple goals that you can choose. To start a quest, you have to pick one of possible goal. The higher quest goal, the higher potential reward.
You can only have 1 goal chosen per quest at a time. To change quest goal, you have to cancel the current one. Cancelling the current goal will zero your progress (progress does not carry on to another goal after changing it).
Each Quest goal has slots. When you join a goal, you take 1 slot. When all slots are taken, you can't join that goal anymore.
Please be mindful of others and don't join quests that you don't plan to finish - doing so will lower the number of slots that could have been taken by other app users!