https://www.desmos.com/calculator/mf2vynjvab

In this project, we were instructed to create a self portrait on desmos. We were able to pick any image of our choice to use as reference. I used a variety of different functions. These functions included circles, ellipses, hyperbolae, parabolas, and simple linear functions. We were required to use at least two circles, two ellipses, and one hyperbola.

I started off by making the eyes. I used circles for both of the irises/pupils, and two half ellipses for each eye. For the eyebrows, I mainly used ellipses and quadratic functions. After that, I worked through my hair. I was wearing a hat in the image I chose, however there was some hair sticking out. I mainly used ellipses and quadratic functions for the hair. As well as a handful of linear functions. The hardest part of this assignment was probably the hat. There were a lot of bumps that I had to work with during this process. I used a lot of quadratic functions and some ellipses. I then moved on to the structure of my face, which included my ears and chin. I used a hyperbolae for both ears, and I only used linear functions for the actual head. While doing the lips, I discovered a feature where you can insert a table and plot different points. Which was quite useful as my lips had many dips and it wasn’t really a straight line. The last thing I did was the nose. For the nose, I just used the plotting points feature and I connected the lines afterwards.

I used restrictions and sliders on pretty much every line. I also made sure to use the right colors to make my face as realistic as possible. There were some colors I wanted to use that were not on the desmos palette. So I had to make my own colors by taking regular colors and defining them. Overall, this project was fun and I have learned some new things about graphing, as well as different functions and when to use them.