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

1 Answer
Mar 10, 2017

Answer:

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(x-(x:translation)) + (y:translation)#
With a horizontal shift of x units to the right and y units up.

Because this function is #y=sin(x-pi)-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)