Final answer:
When a governor vetoes a bill, it goes back to the legislative body where it originated, and the legislature can attempt to override the veto with a supermajority vote or consider any amendments proposed by the governor through an amendatory veto.
Step-by-step explanation:
When a governor vetoes a bill, the bill returns to the originating legislative body, which is either the state house or the state senate, depending on where the bill first commenced. This process is part of the system of checks and balances within the government. If the legislature seeks to overcome the governor's veto, they may attempt to override the veto by securing a supermajority vote, often a two-thirds majority in favor of the bill.
An amendatory veto is another form of veto power that allows a governor to propose changes to the bill and send it back to the legislature for reconsideration. Whether the legislature overrides the veto, accepts the governor's suggested amendments, or the bill fails, this executive capacity to veto legislation provides the governor with significant influence over the legislative process, shaping state laws and policies.