Final answer:
Andrew Jackson led American forces to a decisive victory in the Battle of New Orleans during the War of 1812. His success against the British elevated his national prominence and propelled him into a significant political career, leading to his presidency.
Step-by-step explanation:
Andrew Jackson, motivated by a strong animosity towards the British, played a significant role in the War of 1812. The correct answer to the student's question is that Andrew Jackson led American forces to victory in New Orleans (option c). Despite the Treaty of Ghent already being signed, Jackson and his troops defended New Orleans against the British on January 8, 1815. His strategic leadership resulted in overwhelming victory, safeguarding the Mississippi River Valley and affirming his status as a national hero. This battle had a considerable influence on Jackson's political career, eventually leading to him becoming a key figure in the Democratic Party and the President of the United States.
In relation to Jackson's actions toward Native Americans, during his presidency, he chose not to enforce a supreme court decision that was in favor of the Indians (option b). Instead, he supported policies that led to their removal from their ancestral lands, most notably the Indian Removal Act. This resulted in the forced relocation known as the Trail of Tears, where many Native Americans suffered greatly.