which of the following is an example of the legislative branch checking the judicial branch in the US government

Congress voting to take an act of impeachment upon a judicial judge

An example of the legislative branch checking the judicial branch in the US government occurs when Congress rejects a nominee to a federal court.

Explanation:

The checks and balances system introduced in the Constitution of the United States establishes an internal control within the federal government between the three branches of the government: thus, each branch controls the remaining two, which in turn also exercise the same function. The objective of this system is to avoid the accumulation of power by a government body, while controlling the legitimacy and legality of the acts of each body.

In this sense, the legislative branch controls the judicial branch through several ways, such as the approval or not of judicial nominees or the impeachment of a federal judge.