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

Nov 30, 2016

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 $\sin \left(1 - 1\right) = \sin \left(0\right) = 0$

similarly you can do $x = \frac{\pi}{3} - 1$, and now you have $\sin \left(\frac{\pi}{3} - 1 + 1\right) = \sin \left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}$.

Other good x values are $x = \frac{\pi}{4} - 1$, $x = \frac{\pi}{6} - 1$, $x = \frac{2 \pi}{3} - 1$, $x = \frac{5 \pi}{6} - 1$ 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 $x = - 1 , x = \frac{\pi}{2} - 1 , x = \pi - 1$