Using the notation Ta,b(x,y)=(x+a, y+b) write a translation function

To write a translation function using the provided notation Ta,b(x,y), you simply need to add the values a and b to the x and y coordinates, respectively. Here's the translation function using the given notation:

Translation function: T(a, b)(x, y) = (x + a, y + b)

For example, let's say you want to translate the point (2, 3) by a translation vector of (1, -2). Using the translation function, you'll have:

T(1, -2)(2, 3) = (2 + 1, 3 - 2) = (3, 1)

So, the translated point would be (3, 1).

The notation Ta,b(x,y) means you add the values a and b to the x and y coordinates of the given point (x, y) to obtain the translated point.