https://www.desmos.com/calculator/nvadgc9con
Reflection Questions:
How did you figure out what equations to use?
I first had a look at the criteria alerting me to what the required functions were. After getting those functions out of the way I began using more easy to work with functions like liners, exponentials, radicals, and relations like circles and sideways parobolas. Many of the lines in my image were at a nice curve to were I could easily use exponentials and radicals to trace the lines.
Did you have any challenges?
One challenge I has was when working with desmos I found I couldnt nest a folder within a folder. A solution I came up with was using comments in order to clarify witch type of function was what within the folder. Another challange I had was when shading I wanted a few of my inequalities to graph over lines, in order to do this I made a folder at the bottom of my desmos called “Fill Over lines” this is where I put inequalties I wanted to be over lines. At one point I had a bug with desmos where two of my colours would not load onto the desmos page no matter what I did, to fix it I had to rename the colours I have no idea why this worked.
Any aha moments?
A big aha moment for me was when shading I found out you can choose a different domain for the area of under the line you want to colour. This allows you to colour without going over the lines. Another was figuring out that you can add custom colours by using rgb values, I used a colour picker tool to get the exact colours I wanted from an external image.
Did you get help?
When it came time to make conics for my image I had to get help from the desmos activities we did prior. At one point I found an article discussing how to make tilted elipses witch allowed me to create the eyes for my drawing. I also watched a few videos about shading but mostly figured it out on my own.
Did you use any stratagies?
A stratagy I used to get nice intersections of my lines was to overshoot where the line should end so I can check the exact coordinate of where the intersection should be. I then ajusted to domain to fit the exact coordinate. I also found that your lines don’t need to exactly line up with the image your trying to trace in the background. It will still look nice even if they dont line up perfectly. A stratgy I used when shading was to make new lines just for shading, for example I made two constant y equals lines to colour in a tricky section. I also learned that funtions that come later in the order are loaded on top of others. This made it so I could have the layers I want on top of others depending on where I put them in the document.
How did this assignment help you understand more about transformations of funtions and relations?
This assignemnt helped me understand the way that functions behave and how you can shift the domain and range in a manor that allows you to make apealing looking lines. I discovered that with all the functions we learned in this course there are many different shapes you can make. It also helped me to understand inequalites and how they apear on a graph.