*** UPDATED VERSION:

https://www.desmos.com/calculator/s85wn4oxqs

This assignment challenged me to manipulate functions in order to create a picture. It was initially difficult to get started, because there were so many possibilities. Once I got my head shape completed, the process seemed to be smoother. I went in with a plan to write all my equations as “y=….” and then go back and change them to “L(x)” functions. This ended up being a terrible plan, because when I was finally happy with my picture, half of the lines didn’t work when I labelled them as functions. The head, arms, and hair were particularily difficult. This was very frustrating, because L(x) and y should have the same effect on the equation. After hours and hours of asking my classmates, watching youtube tutorials, and asking my university friends, I just couldn’t figure it out. Thank you, Ms. Hubbard for helping me with this problem, as my picture looks much more completed and visually appealing with the extra shading.

The function notation portion of this project was my biggest struggle, because it was very new to me. I started off by just copy and pasting each equation multiple times and then slightly translating it. Once I got the hang of function notation, it was actually a lot easier than going through that whole process. This skill will definitley help me in all future desmos and graphing assignments.

My favourite part of the card has to be the santa hat. I made great use of the sin graphs, and challenged myself by using a complex exponential equation. I really like how it turned out, and I think it added another indication of the holiday theme. I also made use of Desmos’ VERY limited colour selection by making my outfit red and green and using log equations to add a festive star to my dress. I though that the North Pole background would be a cute idea, and the snowman added more excitement to the photo.

Overall, this assignment has taught me alot about translating and manipulating functions. My understanding of domain and range restrictions has been enriched, as my picture would look like just a bunch of pointless squiggly lines if I had not used them. I also learned the importance of range restrictions, because as I discovered through trial and error, they can sometimes inhibit you from using proper function notation. I can use my newly developed skills throughout my future projects and post-secondary school to create complex and advanced graphs.

 

 

 

ORIGINAL POST:

https://www.desmos.com/calculator/vfqjsbpeu6

This assignment challenged me to manipulate functions in order to create a picture. It was initially difficult to get started, because there were so many possibilities. Once I got my head shape completed, the process seemed to be smoother. I went in with a plan to write all my equations as “y=….” and then go back and change them to “L(x)” functions. This ended up being a terrible plan, because when I was finally happy with my picture, half of the lines didn’t work when I labelled them as functions. The head, arms, and hair were particularily difficult. This was very frustrating, because L(x) and y should have the same effect on the equation. After hours and hours of asking my classmates, watching youtube tutorials, and asking my university friends, I just couldn’t figure it out. This was disappointing because I was then not able to shade in the arms and head, but I am still happy with how my card looks without the head and arms being shaded.

The function notation portion of this project was my biggest struggle, because it was very new to me. I started off by just copy and pasting each equation multiple times and then slightly translating it. Once I got the hang of function notation, it was actually a lot easier than going through that whole process. My biggest set back was how I was not able to do proper function notation on the hair, head, and arms, because the lines would not appear unless they equaled y. This limited my shading and proper use of function notation, as shown in the arms folder below:

My favourite part of the card has to be the santa hat. I made great use of the sin graphs, and challenged myself by using a complex exponential equation. I really like how it turned out, and I think it added another indication of the holiday theme. I also made use of Desmos’ VERY limited colour selection by making my outfit red and green and using log equations to add a festive star to my dress. I though that the North Pole background would be a cute idea, and the snowman added more excitement to the photo.

Overall, this assignment has taught me alot about translating and manipulating functions. My understanding of domain and range restrictions has been enriched, as my picture would look like just a bunch of pointless squiggly lines if I had not used them.