Daily Desmos 28a (Advanced)

Creator

Justin Lanier (@j_lanier)

Difficulty

Advanced

On to the Challenge!

Like 17b, this challenge is different. Can you come up with a graph that goes through these ten points using desmos.com or some other graphing tool?
Bonus: Can you come up with 3 more?
Double bonus: Can you come up with “infinity” more (a general solution)?
Triple bonus: Can you find both a polar and a Cartesian solution? Both a trig and a non-trig solution? A solution that’s non-self-intersecting? One that’s connected? Simply connected?

If you’re victorious, leave us a note in the comments when you’re done.