First, I graphed all the points, for both the pre-image and the image. I set my time to 8 minutes (t=8). Once I had graphed both images, I created equations that would make the points from the pre-image transform into the image. For example, if one point is (0,4) and you want to make that point turn into (6,7), all you have to do is find the distance between the two with respect to time. The equation would be the following: 6/8t+ 0, that would be for the change of x. For the change of y, you would do the same but with the y coordinates. In this case, 4 and 7. The equation would look like this: 3/8t+4.
I used mathematics to symbolize a transformation I want to see in the word by graphing words that represent my STF. My pre-image is the word “LANGUAGE” and the image was language but in Japanese, “ランゲージ ” because my STF is about language learning. Although Math has little to do with languages I still found a way to connect both of them.
The 3 and the 6 in the equations represent how many units you need to move, the 8 represents the time it will take for it to transform and the last value, in the first case is 0 and in the second case is 4, is your initial point or position. This can be represented with the linear equation: mx+b.
(m) is the slope, which includes how far you move and how long it will take. The (x) represents the variable (t), for time and (b) is your initial position.