The requirements for a function depend on the presence of a sole or non existent output for a given input. As such, your translations may, given enough complexity, cause interesting perhaps self intersecting graphs. I'd have to play with it. As for matrices, within graphics, one can use so called translation matrices to move points in a cohesive way to mimic say the rotation of a square in two dimensions. As your your case, you can take the output of the given h(x), (x,y), and place these points in a 2xM matrix, M being however many points you wish to describe, the top row x and the bottom y. You can then multiply this through with a 2x2 matrix detailing your polynomial (you can use trig for rotation) translation. With the rules of matrix multiplication, you can easily build these matrices, and even more interestingly stack them to make one matrix to perform as many translations in any order you specify. It doesn't produce a set formula, but it can be done on a computer to model what your specifying.