Desmos Graphing Art Project: A Journey of Transformations and Function Manipulation

As I embarked on my Desmos graphing art project, I was initially overwhelmed by the complexity of transformations and function manipulation required to create a visually appealing portrait. The only strategy that helped me was sketching it on paper and graphing each part of the face, tree, and letters part by part to get a better understanding of the transformations of the relations.

I mostly used log functions when creating the face on my holiday card, but I also experimented with other types of functions to add decorations and details. In the beginning, I asked a few friends who also turned out to be stuck, and then I went back and looked at our notes and got a clearer vision of how and where to use them.

I got stuck on several occasions, especially when it came to implementing log and exponential functions. However, what I found great about Desmos is that it pinpoints the exact point on the graph so it makes it easier for myself to set the domain and range restrictions. This was an important factor in making sure the dimensions of the portrait and decorations did not exceed their space and intervene with other parts of the graph.

The rational equations helped me produce the decoration on the Christmas tree, while radical equations came in handy when I was sketching my eyebrows. The most challenging equation to implement in my opinion was exponential, but I ended up adding it in a form of decoration to my Christmas tree.

I found the sine equations easier to manipulate than the rest and used them to make my hairline, the letter M, R, my nose, and lips. Once I got an idea of how I wanted it to look like, I began experimenting with what kinds of equations would be easy to manipulate and which ones would be more difficult to apply.

I started off with a pencil and paper, trying to sketch what I wanted to replicate on Desmos later on. Since I am not very familiar with using Desmos besides graphing equations, it took a little bit of time to get accustomed to using the website itself. However, with persistence and patience, I managed to create a beautiful and unique graph that showcased my artistic skills.

In conclusion, my experience with the Desmos graphing art project taught me the importance of persistence, creativity, and experimentation when working with mathematical functions. By combining sketching, graphing, and function manipulation, I was able to create a stunning piece of art that showcased my understanding of transformations and function relationships.

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