Friday, October 1, 2010
The graphing function I used is shown in the picture to the left, which is f(x)=|x|. First of all, its best to start on a graph. If you haven't known already, you need to start off with a x-axis and a y-axis. To be even more specific, the horizontal line is the y-axis and the vertical line is the x-axis. Moving on, f(x)=|x| would look similar to a V. Start the point and (0,0) and draw yourself a V. The red V shown in the graph is f(x)=|x| + 3. The reason why the 3 is not in the absolute value is because its not moving the V to the left or right. When it moved up and down, it is a translation. To draw that V, you basically move the entire V from (0,0) 3 units up. So count three squares and draw the V there. Now to draw f(x)=|x + 4|, it is called a transformation, because you are now moving the V left or right. Same thing with the translation, the way your moving your V, but for f(x)=|x + 4|. Take your V from (0,0) and move it to the left 4 squares. Now to do a reflection, use the purple V as an example. f(x)=-|x|. You will always know that functions with a negative symbol will be in the negative y-axis.