What can authoring permissions allow a user to do?

Authoring permissions are designed to provide users with specific access rights that enable them to modify and manage resources effectively within a system. In this context, the correct answer emphasizes the capability of users to edit resources that they have created themselves as well as those that have been shared with them. This flexibility is crucial for collaboration and allows users to contribute to and update content that may involve teamwork and shared responsibilities.

This means that users can actively participate in projects by not only developing their own materials but also by having the ability to change aspects of resources initially created by their peers. Such permissions facilitate a collaborative environment by allowing for input and improvements on existing work, thus enhancing the overall output quality.

The other options do not accurately reflect the scope of authoring permissions. For example, editing only shared resources would not include a user's own creations, and the ability to create graphics for forms or run scripts independently falls outside the typical permissions associated with resource editing. Each of these roles requires different permissions and levels of access that are not encompassed by the general authoring permissions granted to users.