Is it possible to develop a process for using a trigonometric function to successfully model any parabolic function?
I have tried doing this question however there are functions such as this one where I cannot find a fit to it. Graph Equation: y=a sin0.703(x-c)+10
If you mean $f(x) = ax^2 + bx + c$, then yes, on any bounded interval. You can start with $g(x) = x^2$, develop a Fourier series (regarding it as an even periodic function on a symmetric interval about the origin), then use translation/scaling of $x$ and $y$ to move it to the desired function. The approximation will only be valid on a fixed interval.