Microsoft Purview is the correct answer.

Microsoft Purview is built to provide a unified data catalog and governance layer for Azure. It can scan and classify data sources, maintain a business glossary, show data lineage, and provide search and discovery capabilities so analysts can find and interpret data assets across the environment.

Azure Synapse Analytics is an analytics platform that combines data warehousing and big data processing. It offers query and processing capabilities but it is not primarily a managed enterprise data catalog, and organizations commonly integrate Synapse with Purview for metadata and governance.

Azure HDInsight is a managed service for Hadoop, Spark and other open source big data frameworks. It is focused on running clusters and processing large data workloads and it does not provide the centralized cataloging and governance features that Purview provides.

Azure Data Factory is an orchestration and ETL service for moving and transforming data. It is used to build data pipelines and integrate systems, but it does not function as an enterprise data catalog with automated classification, glossary and lineage in the way Microsoft Purview does.

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