Microsoft's hybrid approach to cloud computing acknowledges that your on-premise infrastructure is not going away and that you can cost effectively augment it with various cloud offerings.
If your organization is using SQL Server, then SQL Server 2014's new hybrid cloud options enables to automate backups to the cloud as well as extend SQL Server 2014 AlwaysOn Availability Groups for on-premise to the cloud. Also, the new Azure Recovery Manager enables you to use Microsoft Azure as a replication target for your on-premise Hyper-V VMs.
More: Microsoft's Hybrid Cloud is Positioned to Win the Cloud Wars