Answer: a medical-alert bracelet that informs first responders of a fall or an emergency
Step-by-step explanation:
The technology that can help her stay in her home instead of moving to a nursing home is a medical-alert bracelet that informs first responders of a fall or an emergency.
The medical alert bracelet is vital as it will help during emergencies as first responders will be made aware of the grandmother's situation and can then respond on time.
This is the best option as other options doesn't have to do with emergencies.