Final answer:
The 'Manage' access level allows a user to change a report folder's sharing settings, giving them control over who else can access the reports within the folder.
Step-by-step explanation:
In the context of a report folder, the access level that allows a user to change the folder's sharing settings is typically known as 'Manage' level access or equivalent. This high level of access is reserved for users who need to control the permissions and sharing settings of the folder, allowing them to not only view and edit the reports within the folder but also manage who else has access to these reports.
To change a folder's sharing settings in most systems, you would navigate to the folder's properties or settings and look for an option related to sharing or permissions. It's important that only trusted users are granted 'Manage' access, as they can profoundly impact the accessibility and security of the contents.