Math Enrichment: Fun with Desmos!

Desmos is a graphing program that's free to use online; chances are if you've got a high schooler, they've seen it. Today's educational way to stave off boredom is to draw a picture using functions! This one has been cooking for awhile; I'd love to make some sort of coloring book or paint by numbers that's truly a graph by numbers; if you plot things correctly, you get an image. It's less tedious to an artistic or creative mind.

Below is a poorly drawn cat. How I made it was by inputting multiple functions (here, mostly conics because I'm working on conics with one of my students, but there's a world of possibility; go nuts!). I restricted domains (the x, or horizontal, coordinates) using brackets. For example, the top of our feline friend's nose is a horizontal line, y=3.5. How I input the function so it didn't continue past where I wanted it was by entering y=3.5{3.5<x<4.5}, which told the program that I only wanted to see those specific values. You can restrict the range (or y values) the same way. This is a simple picture, but you can be as simple or complex as your heart desires.
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Drawing in Desmos has multiple benefits, especially for Algebra II/Precalc students. First, it allows students to really play with transformations (shifting up and down, left and right, making things wider or more narrow). Second, it reinforces the concept of domain and range. Third, it lets students draw what they want; the world is their oyster. Again, if anyone actually tries to make a picture by plotting graphs like this, I'd love to see them.