
Graph of Cosecant
I need help with sketching this graph:
y=2csc(xPi/2)+1
(The x in the equation is what's throwing me off...)
This is what I know so far:
Altitude:2
Period:2pi
Phase Shift: Pi/2 (to the right)
Vertical Shift: 1 (up)
The xaxis needs to be in radians. So I believe the tick marks on the xaxis should be (from left to right) 2pi, 3pi/2 pi, pi/2, pi/2, pi, 3pi/2, and 2pi

Re: Graph of Cosecant
Hey jls9102.
Recall that f(x) takes f(x) and reflects around the yaxis and that f(xa) shifts the graph a units to the right along the xaxis where a*f(x) stretchs it (and possibly flips it) and finally f(x) + a shifts everything a units up in the direction of the yaxis.
So consider f(x + pi/2) first and then reflect that on the yaxis and take it from there.

Re: Graph of Cosecant
Ok so ultimately will the equation look like this:
y=2csc(x+Pi/2)+1
Or would it change to:
y=2csc(x+Pi/2)1