## Wednesday, February 2, 2011

### CH1 Graphing Functions

My graphing function that I chose was f(x)= |x|. I started out by graphing my function in black to identify it as my original function. Opening upward, this function starts at the origin, (0,0) , of the graph. To start off, this function can have many types of transformations. The first transformation, shown in red, is a vertical translation 5 units up the y-axis. By doing this, it changes the function into y=|x|+5. The next transformation, in blue, is a horizontal translation to the right on the x-axis by 8 units. This turns the function into y=|x-8|. Illustrated in green, y=|x-8|+2, shows an example of a combination of both types of transformations. A horizontal 8 units to the right and a vertical shift 2 units up. Furthermore, illustrated in purple, y=-|x|, shows the function reflected across the x-axis. Lastly, in black again, portrays all three types of transformations. A reflection across the x-axis, a horizontal shift 6 units right, and a vertical shift 2 units down resulting in y=-|x-6|-2.