Predict upcoming coordinates Given sequences of points that define similar lines amongst each others, e.g:



Where the blue lines are similar to each other, given the red point sequence and assuming that it will follow the same behaviour as the blue ones, I want to be able to determine what are the next red points.

Therefore my question is three fold: i) Is it possible to use machine learning approaches to address this problem? ii) Should I use machine learning approaches to address this problem? iii) Which known machine learning approaches are most suitable to address this problem?

Thank you for your time.
An RNN might work for this :


Lines have a "sequence of points"
Network should "learn" that points tend to shift towards left (as Y increases) and should be able to apply similar shift for prediction of X for a given Y 


An example : Prediction of points for a Sin Wave