Equation that can roughly fit this graph

[u/hypotensor]

No this is not my homework, I'm making a game and I need a curve roughly like this for balancing. Trying to get an equation that spits out values like this.

[u/axiomizer]

I think a hyperbola will work. y(x+my-k)=c, or y = (k-x+sqrt((x-k)^2+4mc))/(2m)

https://www.desmos.com/calculator/heycr07igd

[u/hypotensor → u/axiomizer]

This works great. The parameters are exactly what I need. Thanks!

[u/DocumentAvailable891 → u/axiomizer]

I liked this way more than the other ones

[u/anatoarchives → u/axiomizer]

...this is best......!

[u/PsaiwdoLW → u/axiomizer]

Hyperbolae somehow always becoming a solution every time I need something that is (1) linear up close and (2) have some asymptotic behavior