For this project, I created an airplane landing on the airfield.
I used these functions to have that drawing:
1) (x - 170 )2 + (y - 238 )2 ≤ 40 range: [231.675, 244.325] domain: [163.7, 176.3]
2) (x-170)2 + (y - 200)2 ≤ 5000 range: [129.289, ] domain: [99.3, 240.7]
3) (x - 170)2 + (y - 200)2 ≤ 300 range: [182.679, 217.321] domain: [152.7, 187.3]
4) y = 245 domain: (140, 200)
5) y = 230 domain: (130, 209)
6) y = 1.75x domain: (130, 140)
7) y = -1.75x + 595 domain: [200, 209] range: [230, 244.65]
8) -(x - 170)2 + 400 ≥ 200 range: [257, 350] domain: [155.858, 184.142]
9) (x - 235)2 / (100)2 + (y - 170)2 / 100 ≤ 1 range: [190.013, 209.987] domain: [135, 334.8]
10) (x - 120)2 / (270)2 + (y - 170)2 / 100 ≤ 1 range: [160, 180] domain: [-150, 390]
11) (x - 220)2 / (100)2 + (y - 170)2 / 100 ≤ 1 range: [160.173, 179.827] domain: [-49, 489.4]
12) (x - 100)2 / (100)2 + (y - 200)2 / 100 ≤ 1 range: [190, 210] domain: [0, 200]
13) (x - 9)2 + (y - 140)2 ≤ 500 range: [117.639, 162.361] domain: [-13.3, 31.3]
14) (x - 350)2 + (y - 140)2 ≤ 500 range: [117.639, 162.361] domain: [327.7, 372.3]
15) x = 200 range: (90, 140)
16) x = 139 range: (90, 137)
17) x = 145 range: (90, 132)
18) x = 193 range: (90, 132)
19) y = - √300 - (x - 170)2 + 10 range: [10.843, 27.321] domain: [152.7, 187.3]
20) y = √300 - (x - 170)2 range: [-17.321, 0] domain: [152.7, 187.3]
21) x = 153 range: (0, 11)
22) x = 187 range: (0, 11)
23) y = √400 - (x - 170)2 - 100 range: [-100, -80] domain: [150, 190]
24) y = -√400 - (x - 170)2 - 120 range: [10.843, -120] domain: [150, 190]
25) x = 150 range: (-120, -100)
26) x = 190 range: (-120, -100)
27) y = 90 domain: (140, 145)
28) y = 90 domain: (194, 200)
29) y = √600 - (x - 170)2 - 220 range: [-218.518, -195.505] domain: [145.55, 195.45]
30) y = -√600 - (x - 170)2 - 240 range: [-264.495, -194.34] domain: [145.55, 195.45]
31) x = 145 range: (-240, -220)
32) x = 195 range: (-240, -220)
33) y = √800 - (x - 170)2 - 340 range: [-337.818, -311.716] domain: [141.8, 198.2]
34) y = -√800 - (x - 170)2 - 370 range: [-398.284, -370] domain: [141.8, 198.2]
35) y = -√10 - (x - 170)2 + 237 range: [233.838, 236.88] domain: [166.84, 173.16]
36) x = 142 range: (-370, -340)
37) x = 198 range: (-370, -340)
38) (x - 196)2 + (y - 71)2 ≤ 300 range: [53.679, 88.321] domain: [178.7, 213.3]
39) (x - 142)2 + (y - 71)2 ≤ 300 range: [53.679, 88.321] domain: [124.7, 159.3]
40) y ≤ 1.5(x - 60) domain: (-300, 210) range: (-400, 100)
41) y ≤ -1.5(x - 275) domain: (125, 600) range: (-400, 100)
42) point (167, 240)
43) point (173, 240)
Reflection Paragraph
I liked using my imagination while doing this project. Also creating a real and meaningful drawing with mathematical units was very interesting to me. However, this project was very difficult to form because we had to know different kinds of functions and their qualities. For example, I had to search the function of an ellipse. Some functions that I get from different resources, didn't work. What I disliked about this project was we weren't so accustomed to create and form functions on Desmos. I learned how to make an ellipse or a circle or a shaped area on Desmos and learned the properties of transformations. I encountered many problems like using the transformations. I used a very big portion of the coordinate system so I had to try every number very precisely to get my airplane. I had to change transformations of the main functions and it took a lot of time and effort. I discovered the mathematic's world is so wide and limitless as I experienced once again in this "beautiful functions" project.
