Each player seeks the best five card poker hand from the combination of the community cards and their own hole cards. If a player's best five card poker hand consists only of the five community cards and none of the player's hole cards, it is called playing the board.
The most basic transformation is the translation. The formal definition of a translation is every point of the pre-image is moved the same distance in the same direction to form the image.. Take a look at the picture below for some clarification. Each translation follows a rule. In this case, the rule is 5 to the right and 3 up.. You can also translate a pre-image to the left, down, or any combination of two of the four directions. More advanced transformation geometry is done on the coordinate plane. The transformation for this example would be T(x, y) = (x +5, y +3).
A transformation of a collection of objects is a rule that describes how to transform or move each object in the collection. For us, the objects are the points in the familiar coordinate plane and the collection is the plane itself (composed of all its points). A transformation, then, is a rule that describes how to move each of the points in the plane to new locations. Every point has to go somewhere -- even if it is just to where it was in the first place. No two different points can go to the same place.