You can do this on the reservation details page. You can open it by clicking on the desired reservation ID (in any of the pages of the
reservations tab or
schedule&reports) or anywhere else you see a reservation ID with a link (also in emails).
To modify the status of the reservation (e.g. confirm it) or cancel it, use one of the buttons below the reservation details.
If you want to change the duration or start time, click the
modifications button. Here you'll be able to reschedule the reservation. There's also a quick way to move a reservation to a different time or resource
explained here.
Your customers will be also able to cancel reservations or modify certain details but only when you specifically allow this. Please see
Q204 for the explanation of the $(cancel_url) and $(modify_reservation_data_url) tags which let the customers access special pages where they can cancel their reservation or modify the reservation details.
Please note that for safety it is not possible to delete a reservation but cancelling it is practically the same. A cancelled reservation will not make the resource occupied, it will not be listed in reports or on the schedule calendar etc.