You can control your team's access to Analytics under Admin > Team > Roles > Reports section.
You can provide them with View, Edit, or Manage (includes edit and exports) access.
View - You can access curated reports and custom reports (based on your visibility). With view access, you will not be able to add Filters but can view underlying data. You can still change visualizations, subscribe to reports, add the widget to another report and drill down on data.
Edit - In addition to view access, you can add widgets, create custom reports, add/edit filters in existing curated and custom reports (based on your visibility), and delete custom reports. Underlying data will also be visible.
Manage (includes edit and exports) - Along with edit access, you can access Analytics settings and create/edit/delete and enable/disable schedules and exports.