Desmos Art Project - Template

What I started this function with changing the 'a' value of the function. This allowed me to change the function by a vertical translation. From there, I changed the slope of the function by changing the 'b' value. This allowed me to aline the function with the section of my picture. Another factor that went into the curvature of the function, was the value in front of the 'a'. I played around with that value, and finally got a number that allowed me to get the correct change in vertical dilation for my picture. Once I had the correct angle and curvature for my function, I then changed the function by a vertical translation up. Once everything was in line, I added a domain to the function to be able to shorten the amount of the line seen.

I began with changing this function by a horizontal translation. This was done by subtracting a value from my 'x' value. Because I wanted the sun to move on its horizontal axis, what I did was subtract S units from 'x' to make the sun move. On the slider, I set a domain to the variable S so that when I pressed play, the sun would move between 140 and 210 on the x-axis. Then I changed the function's location by a vertical translation, by subtracting an amount form my 'y' value. To make the sun move up the on the y-axis, I subtracted 80 from the 'y' value. All these values were adjusted while also trying to figure out what value best fit for the radius of my circle. Changing the radius affected the function by the horizontal dilation. After that, to fill in the circle, I made r^2 greater than the rest of the values of the function. To make the sun look like it disappears when it goes off frame, what I did was I set a domain on the sun, to make it only visible from certain points along the x-axis.

With this function I began with changing it by the horizontal and vertical translations, to be able to get it in the right spot I wanted. Then to get it to fit correctly, I changed the vertical and horizontal dilation to the oval. After the dilations were adjusted, I then added a domain to the oval, to make it so that only (about) half the oval showed. I needed a domain for both the 'x' and 'y' values too.

With this function I began with giving it a vertical translation up. After that added a vertical dilation to the function, and then added a horizontal dilation to it. After I did that, I gave the function a domain to fit the area needed.

For this function, what I first did to get it to where I wanted, was shifting the function horizontally. So changing it by a horizontal translation towards the right. Once I found the right spot, I then changed it by the vertical translation, moving the function upwards on the y-axis. Once the function was where I needed it to be, I changed the function by adjusting the vertical dilation of it. This allowed me to change the slope and the angle in which the curves were set, letting me line up the function to where I wanted it to outline an object.

For this function, I began with messing around with different values to get an idea of where I wanted this function to go, and mostly, where it could fit. Once I found an ideal location, I began with adjusting it by a horizontal translation towards the right. After that, I raised the function up by giving it a vertical translation up. Once that was changed, I had to adjust the slope of the function. I did this by giving the function a vertical dilation. Then I added a domain to the function for it to be the correct length I need to cover the specific part of the wave.