A way I used creative and critical thinking during the process of creating my self portrait was adding all the possible equations that I could use onto the graph and finding which one I thought would work best for the part of the picture that I was wanting to make. Once I found one equation that worked for a part of my picture, I continued to use that equation for the rest of that section.
The functions and relations I used for each section:
Head: linear equations, cubic equations, quadratic equations, and circles
Ear: circles, quadratic equations, and square root functions
Hair: quadratic equations, circles, square root functions, and linear equations
Mouth: square root function and quadratic equations
Body: trig functions (sin), circles, quadratic equations, and linear equations
I moved them around and changed their shape by changing their x or y intercept.
When first getting started I was having challenges with worrying about not having enough functions because I was using the same equations for everything and I wasn’t sure how to incorporate other functions into my work.
Once I looked at all the function I had and started changing their shapes I was able to see how I could include them into my portrait. For example I wanted to include a trig function into my portrait but I wasn’t sure how I would be able to incorporate the wavy lines into my portrait but when I started to change the size and I stretched out the waves I was able to add it into the shirt of my picture.
When I was finding out different ways to change the equations and of writing my equations got help on how to properly write the equations because the way that I was writing the equations I was having x isolated when y should always be isolated.
The strategies that I used were to stick with what worked for parts I had worked on already, but to try new things for parts of the portrait that I didn’t start yet. For example for most of the hair I used quadratic equations, but for the body I tried using trig functions.
this assignment helped me understand that it is very easy to change the outcome of a graph just by changing a minuscule detail in the equation. An example of this is when I was writing my equations I had to go into the ten-thousandth of a decimal to make sure the lines matched up, and even then the lines weren’t perfectly in line. I am also a perfectionist so I would restart the same section just because the line was slightly off. Overall I really enjoyed this assignment and it helped my improve my graphing skills.