Beautiful Functions / 2nd Term Math Performance Task

Here are my graph, functions, and reflection.

My Graph:

Here is the link to my graph and functions on Desmos: https://www.desmos.com/calculator/3iqa7tg5oy

Here is the pdf link to my functions and my graph:
https://drive.google.com/file/d/1UcEN9bPJJwTpITGGH_vd6g_2AYHefBw4/view?usp=sharing

Functions:

1. y=cosx{0≤x≤1200}{−1≤y≤1} 
2. y=cosx+1{0≤x≤1200} {0≤y≤2} 
3. y=cosx +2{0≤x≤1200} {1≤y≤3} 
4. y=cosx+3{0≤x≤1200} {2≤y≤4} 
5. y=cosx+4{0≤x≤1200} {3≤y≤5} 
6. y=x+200 {400≤y≤500}{200≤x≤300} 
7. y=−x+800 {500≤y≤600} {200≤x≤300} 
8. 1/25(y−500)2=x−300 {300≤x≤500} {429.289≤y≤570.711} 
9. − 1/25(y−500)2=x−700{500≤x≤700}{429.289≤y≤570.711} 
10. 5(x − 670)2/230+ 5(y − 510)2/100=1
11. y=500{690≤x≤700}
12. −(y−500)2=30(x−500){451≤y≤500}{420≤x≤500} 
13. −(y−500)2=15(x−580){451≤y≤500}{420≤x≤580} 
14. y=−2x+1000{200≤x≤250}{500≤y≤600} 
15. y=2x{200≤x≤250}{400≤y≤500}
16. (x − 750)2 + (y − 500)2 = 18.72 
17. (x − 770)2 + (y − 600)2 = 202 
18. (x − 730)2 + (y − 700)2 = 252 
19. (x − 775)2 + (y − 800)2 = 302 
20. −x=1cos (1/10y) −330 {0≤y<160}{329≤x≤331} 
21. −x=1cos(1/10y)−350 {0≤y<200} {349≤x≤351} 
22. −10(y−200)= (x−350)2 {330≤x≤349}{160≤y<200} 
23. −x=1cos(1/8y)-410 {0≤y<270}{409≤x≤411} 
24. −x=1cos(1/10y)-450 {0≤y<230}{449≤x≤451} 
25. −38(y−270)= (x−410)2 {410≤x≤450}{227.895≤y≤269.987} 
26. −x=1cos(1/8y)-500 {0≤y<250}{409≤x≤501} 
27. −x=1cos(1/8y)-555 {0≤y<270} {554<x≤556} 
28. −140(y−270)= (x−555)2 {500≤x≤555}{248<y≤270} 
29. −x=1cos(1/9y)-600 {0≤y<230}{599≤x≤601} 
30. −x=1cos(1/8y)-640 {0≤y<210}{639≤x≤641}  
31. −105(y−230)= (x−600)2 {600≤x≤640}{214<y≤230} 
32. −x=1cos(1/9y)-680 {0≤y<200}{679≤x≤681} 
33. −x=1cos(1/9y)-715 {0≤y<190}{714≤x≤716} 
34. −105(y−200)= (x−680)2 {680≤x≤715} {188≤y<200} 
35. −x=1cos(1/9y)-750 {0≤y<270}{749≤x≤751}  
36. −x=1cos(1/9y)-800 {0≤y<290}{799≤x≤801} 
37. −105(y−290)= (x−800)2 {750≤x≤800}{266<y<290}  
38. −x=1cos(1/9y)-830 {0≤y<215}{829≤x≤831} 
39. −x=1cos(1/9y)-860 {0≤y<230}{859≤x≤861} 
40. −80(y−230)= (x−860)2 {830≤x≤860}{218<y<230} 
41. y = 2 sin(0.1x) + 1000{0 ≤ x ≤ 1200}{998 ≤ y ≤ 1002}

My Reflection

I had a lot of opinions while doing this project. To start off, I would like to tell what I liked about the project. I liked the idea of drawing objects out of functions. In lessons, we only see functions on the graph without them being shaped as an object. Compared to the lessons, it was fun to see the functions coming alive as objects we see in our daily lives. What I disliked about the project was that we had to draw something. I am not really good at drawing, and because of that, I don’t like drawing, so sometimes I got really bored doing the task. However, I learned lot of things while doing the project such as writing functions on the program called “Desmos”, and the outcomes of the functions on the graph such as trigonometric functions. Also I learned how to overcome the obstacles. There were some problems that encountered such as range and domain of a function didn’t fit into the drawing, and the image got unrecognizable, however, I solved the problem. Overall, I liked doing the project even though there were some obstacles, problems, and things I didn’t like. I suggest the project to be given next year to the 10th graders to make them learn functions efficiently.