Restoring SQL Server backup to Azure SQL Database
If you already have a database on local machine then you can migrate it directly on Azure using SQL Management Studio. Follow these steps:
Right click on the database name in SSMS:
Follow the wizard that appears then.
If you're running SSMS v17 you can configure the Azure SQL database edition, size and service objective.
Azure SQL Database does not currently support that functionality. The only method to restore in Azure SQL Database is import from BACPAC files - you can migrate to Azure SQL DB using BACPAC files by following this guide: https://azure.microsoft.com/en-us/documentation/articles/sql-database-cloud-migrate/
The other options is to use SQL Server in a VM, which would enable a restore of a .bak file