Which requirement is associated with the president's legislative power?

The requirement to deliver the State of the Union address is a key aspect of the president's legislative power, as it serves as a direct communication tool between the president and Congress. This annual address allows the president to outline the administration's policy priorities, propose new legislation, and report on the nation's progress and challenges. It highlights the interactive relationship between the executive and legislative branches, emphasizing the president's role in shaping federal policy and influencing the legislative agenda.

While the other options reflect various powers and responsibilities of the president, they do not specifically correspond to a constitutional or statutory requirement linked to the legislative process. For example, executive orders are directives issued by the president to manage the operations of the federal government; nominating Supreme Court justices is a power granted to the president that requires senatorial approval; and proposing a budget is part of the president's responsibilities, but it is not mandated in the same way the State of the Union address is. Therefore, the delivery of the State of the Union address stands out as a unique obligation that connects the president directly to the legislative branch.