Question

What are the important points to graph `y=sin(x+1)`?

Answer 1

Highpoints, lowpoints, x intercepts and such.

Explanation:

Basically any point you can calculate. Numbers like the sin of pi/3 or pi/4 things like that. Depending on how detailed you want to make your graph you can choose the ignore some points.

In this case it is most convenient when `x=-1` since `sin(1-1)=sin(0)=0`

similarly you can do `x=pi/3-1`, and now you have `sin(pi/3-1+1)=sin(pi/3)=sqrt(3)/2`.

Other good x values are `x=pi/4-1`, `x=pi/6-1`, `x=(2pi)/3-1`, `x=(5pi)/6-1` and such.

A most simple graph would just contain the high points, low points and the x-intercepts. If you wish to do that just plot down the values `x=-1, x=pi/2-1, x=pi-1`