Explanation

AWS Direct Connect is the correct answer because it provides a dedicated, private network connection between your on-premises infrastructure and AWS VPC (Virtual Private Cloud). This service:

• Establishes private connectivity: Bypasses the public internet for more consistent network performance
• Provides dedicated bandwidth: Offers predictable network performance with consistent latency
• Enhances security: Data travels over a private network connection rather than the public internet
• Reduces network costs: Can lower bandwidth costs when transferring large amounts of data

Why other options are incorrect:

• Amazon API Gateway: A service for creating, publishing, and managing APIs - not for private network connections
• AWS Systems Manager: A service for managing AWS resources and on-premises systems - focuses on operational management, not network connectivity
• AWS CloudFormation: An infrastructure-as-code service for provisioning AWS resources - not for establishing network connections

AWS Direct Connect is specifically designed for establishing private, dedicated connections between on-premises data centers and AWS VPCs, making it the ideal solution for hybrid cloud architectures requiring secure, high-performance connectivity.