# How do you graph y=sin(x-pi)-1?

Mar 10, 2017

Take the original sin function
Shift to the right π
Shift down 1

#### Explanation:

Picture of graph: https://gyazo.com/bf52f5d64ecc5ab593202650ae517716
(Blue line is original sin function)
(Red line is new function)

The original function is $y = \sin \left(x - \left(x : t r a n s l a t i o n\right)\right) + \left(y : t r a n s l a t i o n\right)$
With a horizontal shift of x units to the right and y units up.

Because this function is $y = \sin \left(x - \pi\right) - 1$

We shift $\pi$ units to the right
And $- 1$ units up or $1$ unit down

If you need the vertex points of the new function, they are labeled in this photo: https://gyazo.com/8a1bf58c63cd358bc7fea5c8564953db
(Blue line is original sin function)
(Red line is new function)