Question

How do you use the amplitude and period to graph `of y=sin(x+3)`?

Answer 1

Assumption: x and 3 are in radian unit. Amplitude is 1. Period is 2`pi`.

Explanation:

One full sine wave is from (`-`3, 0) to (`-`3+2`pi`, 0), with (`-`3+`pi`, 0) bisecting it..
Zenith is ( `-`3+`pi`/2, 1).
Nadir is ( `-`3+3`pi`/2, `-`1). :
y = 1 and y = `-`1 touch the wave at these points, respectively.