Make sure all parts of question are answered correctly and work shown

(03.07 HC) In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled by () + 16) , x2 - = 1 and Comet H is modeled by () + 13) x2 144 = 1, where all measurements are in 400 144 astronomical units. Part A: What are the vertices for the path of Comet E? Show your work. (4 points) Part B: Which comet travels closer to the sun? Give evidence to support your answer. (5 points) Part C: What key feature does the sun represent for both comets? Give evidence to support your answer. (6 points)