How to flip a curved line on the y-axis?

Question

Mathematics

I am recording cursor movements using python, I have an array of xy coordinates. Then when I play back the recorded line, the cursor repeats the recorded line. How can I make it so that I can reproduce the same line, but in an arbitrary direction?
In mathematics, my knowledge ends after sines of cosines, so I'm looking for some ready-made algorithm.

Answer 1

https://ru.wikipedia.org/wiki/Rotation_matrix
We multiply the coordinates of each point of the graph (in the form of a vector (X, Y)) by the rotation matrix, we get a new vector (X1, Y1).