Hey there, @cheyyhernandez
Bo here from Shopify Support!
That is a really interesting question. To me, it sounds as though you have updated your address in Settings > General but you may need to update it in Settings > Locations also and then update your Shipping From address in Settings > Shipping and Delivery.
1. Go to Settings > Locations.
2. Click Add Location and fill in the details. Click Save.
3. Go to Settings > Shipping and Delivery > Manage rates.
4. Click "Manage" right beside "Shipping from" and change it to the new address.
5. Click Save.
You can read up more about setting up locations right here. Let me know how this goes and if there is anything else I can assist you with, I'm happy to help!
All the Best,