I'm going to be the ambassador for the embarrassed math illiterate among us and ask: what's the process for coming up with a function who's graph is a specific image?
I want to draw a heart symbol. It's symmetric, so I can compose of two identical by mirrored halves. So I need a function that looks like half a heart. Hey, that kind of looks like a parable sliced off just so...
After that, it's pretty straightforward mechanical work and a little inspiration to give the whole thing volume by overlaying a sine wave with it.
This isn't about google's new graphing ability, it's about the function 5 + (-sqrt(1-x^2-(y-abs(x))^2))cos(30((1-x^2-(y-abs(x))^2))) and the graph this function produces.