Final answer:
The student is engaging with high school level mathematics, particularly involving graphing functions and understanding parabolic equations, but further clarification from the student is needed to provide a precise answer.
Step-by-step explanation:
From the information provided, it seems that the student is working on plotting certain functions and dealing with parabolic equations, which would suggest a Mathematics subject and most likely is for a High School grade level. The question appears to involve sketching graphs of several functions on the same diagram and understanding the form of a trajectory equation. Additionally, the student might be dealing with solving a quadratic equation and understanding the concept of angles in the context of scattering, expressed in degrees.
Unfortunately, the content provided has several unclear sections with disjointed mathematical expressions. To assist the student effectively, it would be necessary to have a clearer understanding of the specific problem they are trying to solve or the exact help they need in sketching or solving the mentioned equations.