Horizontal And Vertical Translations

http://library.thinkquest.org/20991/...rizandvert.gif

**When you alter a graph, you ***transform* it. If you transform a graph without changing its shape, you *translate* it. Vertical and horizontal transformations are translations. When *y = f(x) + d*, shift (translate) the graph of *y = f(x)* vertically (upward if *d > 0*, downward if *d < 0*).

**Example: ****1. Problem: Translate ***y = x2* upward by *1*. Solution: You have been asked to shift the graph upward *1*. Rewrite the equation to do this, and then graph. *y = x2 + 1* The figure below is a graph of the solution.

**http://library.thinkquest.org/20991/media/alg2_vt.gif **

**When ***y = f(x + c)*, translate the graph of *y = f(x)* horizontally (left if *c > 0*, right if *c < 0*).

**Example: ****2. Problem: Sketch the graph of ***y = |x + 2|*. Solution: First, graph *y = |x|*, then shift it to the left 2 places. The figure below is a graph of the solution.**http://library.thinkquest.org/20991/media/alg2_ht.gif **

**I saw this online and i was wondering how can you tell if it's a Horizontal Translation or Vertical one? If so, what are usually these translation used for?**