In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled by (x-16)^2/400 + y^2/144 = 1 and Comet H is modeled by (x+13)^2/144 - y^2/25 = 1, where all measurements are in astronomical units. Show all work.

Part A: What are the vertices for the path of Comet E?

Part B: Which comet travels closer to the sun? Give evidence to support your answer.

Part C: What key feature does the sun represent for both comets? Give evidence to support your answer.