1. ## vertical stretching

if f(x+n)+c is vertically stretched by a factor of 7, is the resultant function

7f(x+n)+c OR 7f(x+n) +7c

Cheers

2. There is no difference here as you can say $7c = c$

3. maybe i can make it more clear by putting a constant?

7f(x+n)+2 or 7f(x+n) +14

4. anyone?

5. In either case, the graph is "stretched" by 7. In the first case, 7f(x)+ 2, the distance between high and low values of the graph is stretched by 7 while the distance from the x-axis to some fixed point on the graph stays the same. In the second case, 7f(x)+ 14, the distance between high and low values of the graph is stretched by 7 and the distance from the x-axis to some fixed point on the graph is also stretched by 7. So it is all a matter of "what do you [i]mean[/b] by "stretched"?