Option A: After-save record-triggered flow
True.
An after-save record-triggered flow can update records after they are saved.
If the flow updates a record that the trigger is listening to, it can cause the trigger to fire again, affecting the number of times it executes.
Reference:
Option D: Roll-up summary fields
True.
Changes in child records can cause roll-up summary fields to recalculate, which updates the parent record.
This update can cause triggers on the parent object to fire, potentially multiple times within a transaction.
Option B: Criteria-based sharing calculations
False.
Criteria-based sharing recalculations do not invoke triggers.
Sharing rules are processed after triggers and workflows, without affecting trigger execution.
Option C: Email messages
False.
Sending email messages does not impact the number of times a trigger fires.
Triggers are not directly affected by email operations unless the email action updates records that the trigger listens to.
Conclusion:
Operations A and D can affect the number of times a trigger fires due to record updates and recalculations.