What sine function represents an amplitude of 1, a period of 2p, a horizontal shift of p, and a vertical shift of -4?

Question

trig need help with me. please!! 

Answer 1

Amplitude =  1 so,  A=1

2pi/B = 2p

B= pi/p

C= -4

Horizontal shift ------

Sin(pi/p*x-c)-4

 

The graph is shifted by p

So,

 c*p/pi = p

c= pi

 

So,

 

Sin((pi/p)*x-pi)-4

 

This is the sin function required.

 

 

Answer 2

Asin(B(x-s))+C is a sine function of amplitude A, of period 2π/B, of horizontal shift of s to the right, and vertical shift of C upward.  Fill in the parameters from your question.