For example, if you know that the quadratic parent function \(y={{x}^{2}}\) is being transformed 2 units to the right, and 1 unit down, we can create the original t-chart, following by the transformation points on the outside of the original points.
A rational function is basically a division of two polynomial functions. That is, it is a polynomial divided by another polynomial. In formal notation, a rational function would be symbolized like this: Where s(x) and t(x) are polynomial functions, and t(x) can not equal zero.
The proper rational function is the algebraic fraction of two polynomials such that the degree of the numerator is less than that of denominator whereas an improper rational function is just the reciprocal of proper function.