These functions are written in the form Y=mx+b, where m is the slope and b is the y-intercept. For a vertical translation 6 units up, you simply bump up the y-intercept by 6 units, so -5 + 1 = +1
As far as horizontal stretch goes, you have to understand slope. By dividing the slope by the included factor (3/2), you end up decreasing the value of M (from 3 to 2). This is considered a horizontal stretch because slope is defined as rise over run (change in y over change in x), so by making your line rise less it will move farther out horizontally.
If you have a graphing calculator, plug both of those lines in to visualize this because I'm not the best linguist