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

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Answer 1 · 2017-03-10T02:28:03

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

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)

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