Question

Explain how the transformations of the functions f(x)=15sin(x) and f(x)=sin(x)+15 differ.

I see that f(x)=sin(x)+15 experiences a vertical shift, but I am not sure about the transformation that f(x)=15sin(x) experiences. Thank you for your help!

Answer 1

compared to f(x) = sinx
15 sinx has its amplitude changed from 1 to 15
sinx + 15 simply shifts sinx up 15 units.
You had the last one correct

see the graphs here:

http://www.wolframalpha.com/input/?i=plot+y+%3D+sinx+%2C+y+%3D+15sinx+%2C+y+%3D+sinx+%2B+15

Answer 2

Thank you!