In your post write to explain how you figured out what equations to use. Did you have any challenges? Any aha moments? Did you get help? Did you use any strategies? How did this assignment help you understand more about transformations of functions and relations?

Reflection:

My process, I started with the head, at first I used the circle equation, then switched to the ellipse of correct orientation, I forgot how to make several graphical functions so I Googled most of them and their usage. After the ellipse of the head, I used the circle equation and modified it to the rounded square by changing the exponents (these are the shapes of applications on phones, I want to become a computer scientist so this I believe relates to the core competencies as I hope to build myself a path to developing phone apps in the future.) Then I used offset circle equations for the irises, at first, I had level glass frames on the sides but then changed it to slanted for better perspective more real to the photo and providing depth perception. One major problem I had was that I could not easily replicate myself using math functions from a photo of me, instead, I reversed the order and started from the Desmos graph first to a humanoid shape, then attempting to add my features, then lastly taking a photo after that in similarity to the graph. I did not want to draw multiple teeth, so I used the easy way out and inserted a blocked off, high frequency sine wave inside a stretched ellipse for my lips. Next, adding the neck was easy by using x = lines, to fill the requirements for square root with polynomials inside and log, e^x functions, I was not able to showcase their characteristic curves but use them similar to straight lines by involving heavy use of transformations. I used these for the arm and shoulder shapes. Next, I added the hairline by using an absolute value cosine wave, which I would later vanish, using it as a placeholder, I used sideways parabolas of x=y^2 for my draped hair.
I was able to shade the left side of the postcard, however, I was not able to put shade between functions using the functions themselves as domain and range, otherwise it would be too tedious to shade in sections using transformations alone that would end up pixelated.

In conclusion, this desmos project was very fun to work on and I learned a lot out of it.

 

Original photo:

 

Recreated photo:

https://www.desmos.com/calculator/c7kvfqjpyv