How can I make a roller coaster in desmos by combining 3 equations

Question

hero · Answer

I don't know how to create one with three equations, but here's one where you can drag the $a_0$ term to roll the coaster along its track: https://www.desmos.com/calculator/0sgec8qzzs

wintersuntime · Answer

okay thanks and this is for my integrated 3 math class

wintersuntime · Answer

I tried that but It just hows a parabola @Mehek14

l · Answer

In general, it could be anything with a negative coefficient and only one maximum. So try something like $f(x) = -(x-1)^4 + 100$

l · Answer

Or to make the ride interesting and curvy, why have only one maxima? You could go with more ups and downs with$$f(x) = (x-1)(x-2)(x-3)$$

wintersuntime · Answer

okay thanks, do you know how to make a loop?

l · Answer

What do you mean by making a loop?

l · Answer

Oh, I see what you mean!

wintersuntime · Answer

yea

l · Answer

Do you want it perfectly circular? Or a little elliptical?

wintersuntime · Answer

which one do you think would be better

l · Answer

This could get weirder, but the equation of a circle is$$(x-h)^2 + (y-k)^2 = r^2$$

wintersuntime · Answer

ok

supercalifragalisticexspeaalli · Answer

lol u still need some help

bobo-i-bo · Answer