So say I have some function $f(x)$. This function is of some extended form that includes four-constant parameters $a,b,c,d$, creating $f(a,b,c,d,x)$. I now have curves of data for different values of $d$ along the $x$-axis. Now I need to approximate $a,b,c$ using the different curves of $d$ values.
Is there an optimization algorithm that can be used to find the best fit for $a,b,c$ that fit the function data?