How can the legislative branch check the judicial branch?

The correct answer is proposing constitutional amendments. This checks the judicial branch because when the legislature proposes an amendment to the Constitution, it can effectively override a judicial interpretation or ruling. The courts interpret the law and the Constitution, but the legislative branch has the power to change the Constitution itself. This means if the judicial branch interprets a law in a way that the legislature disagrees with, they can propose an amendment that clarifies or alters the language of the Constitution to reflect their intentions.

On the other hand, issuing executive orders pertains to the powers of the executive branch rather than the legislative branch. Vetoing judicial decisions is not a function of the legislative branch, as members of Congress do not have authority over court decisions. Conducting judicial investigations, while it may be a function of the legislative branch, does not directly check the powers of the judicial branch in a meaningful way compared to the ability to propose amendments that impact judicial interpretation. Thus, proposing constitutional amendments provides a direct mechanism for the legislative branch to influence the judiciary.