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To move a graph vertically and/or horizontally around the coordinate plane is called shifting or translation. Shifting is simply moving the graph. Horizontal shift would be moving/shifting the graph to left or right. Vertical shift would be moving/shifting the graph to up or down. There are another transformation methods that involve a more complex equation than shifting like mirroring or rotating.
In the example below, notice how each vertex moves the same distance in the same direction. In this next example, the slide (translation) moves the figure 7 units to the left and 3 units down. There are several ways to indicate that a translation is to occur:1. description: 7 units to the left and 3 units down. (A verbal description of the translation is given.) 2. mapping: (This is read: the x and y coordinates will be translated into x-7 and y-3.Notice that adding a negative value (subtraction), moves the image left and/or down, while adding a positive value moves the image right and/or up.). 3.The -7 tells you to subtract 7 from all of your x-coordinates, while the -3 tells you to subtract 3 from all of your y-coordinates.) This may also be seen as T-7,-3(x,y) = (x -7,y - 3). 4. vectors: (A vector, a directed line segment, may also be used to show the movement of a translation.