Some questions about transforming graphs that I would like a hand with. I've given them educational guesses, but if someone could take a look at them, that would be great. 1. The problem statement, all variables and given/known data 2. Explain the difference in the transformations to the graph of f(x) by f(x+2) and f(x)+2. 3. Explain the difference in the transformations to the graph of f(x) by f(3x) and 3f(x). 5. Explain how to find an equation of the normal to a curve at a given point. 2. Relevant equations None 3. The attempt at a solution For (2) f(x+2) would stretch the graph along the X axis by x2, right? Where as f(x)+2 would just nudge the graph along the X axis by 2 points. But for (3) I'm really not sure what the difference is (obviously there is a significant one) of the 3 being inside the brackets or out. Any help here? For (5)... I'm a little stuck. I'm thinking that I might have to differentiate to start with, but I'm not entirely sure. Thanks for taking the time to look at this.