When scaling an Azure App Service, it is essential to consider the geographic distribution of your application's user base. By utilizing Azure Traffic Manager or Azure Content Delivery Network, you can route traffic to the nearest data center, reducing latency and improving user experience. Moreover, utilizing Azure Front Door can help with load balancing and automatic failover across regions. Additionally, consider using Azure Application Gateway for SSL termination and endpoint routing to ensure secure data transmission.

One important consideration when scaling an Azure App Service is to optimize the resource allocation. By analyzing the application's performance and usage patterns, you can determine the most appropriate instance size and scale-out settings. Additionally, it's crucial to design the application to be stateless or leverage technologies like Azure Cache for Redis to store session data externally. This allows for better horizontal scaling. Lastly, monitoring and auto-scaling settings should be configured to ensure the application can handle increased load during peak times.

An often overlooked aspect of scaling Azure App Services is the impact on your database. As you scale the app service, you may need to adjust the scaling capabilities of your database tier as well. Azure SQL Database provides built-in capabilities like elastic pools and hypertext scale rationing to handle increased demand. Another approach is to use Azure Database for PostgreSQL or MySQL, which offer flexible performance options. By considering the scaling requirements of both the app service and database, you can ensure optimal performance and cost efficiency.