Final answer:
The Roosevelt Corollary expanded US influence in Latin America by allowing intervention in the affairs of Latin American countries, shaping US foreign policy and relations in the region, although it was criticized as a form of American imperialism. So, the correct answer is option c.
Step-by-step explanation:
The impact of the Roosevelt Corollary was significant in setting the precedent for American foreign policy, particularly in Latin America. By 1904, President Roosevelt had stated that the United States had the right to intervene in Latin American affairs whenever it saw necessary, which expanded US influence in Latin America.
This move was based on an interpretation of the Monroe Doctrine, and it essentially declared the United States as an 'international police power' to correct any 'chronic wrongdoing' by Latin American nations that might threaten regional stability.
Throughout the early 20th century, the Roosevelt Corollary was often invoked to justify US military interventions in countries such as Nicaragua, Haiti, and the Dominican Republic, where political turmoil or financial instability posed a threat to US interests.
Although the corollary claimed to aim for stability, it was widely perceived in Latin America as a justification for American imperialism, affecting relations between the US and its southern neighbors. The corollary's influence lasted until the 'Good Neighbor Policy' of the 1930s, which sought to improve diplomatic relations and move away from overt intervention.