Sketch the graph of y = 3 sin(px+2)...

Question

Sketch the graph of y = 3 sin(πx+2) using y = A sin(Bx−C), where A is the amplitude, the phase shift is C/B, and the period is 2π/B.

 

(Those are Pi signs, I do not know how to put them in this program without looking a little weird.)

 

 

Answer 1

Anida, the trick with graphing sine and cosine is to make each look the same and change your labeling.

 

If your amplitude is 3, then it will go up to 3 and down to -3.

 

B is pi, but C is -2 because of the Bx - C. Subtracting the -2 gives us +2.

 

If the phase shift is 2/pi, then it starts just past 2/3, since pi = 3.14.

 

The period is 2pi/pi, or 2, so it should go up and cross at approximately 1 2/3, down, and start again at approximately 2 2/3. If you need to graph backward, it will go down, cross at approximately -1/3, up, and start again at -1 1/3.

 

Hope this helps!