Question

A sine function has the following key features:

Answer 1

Answer:

y = Asin (Bx)  + C

 

A = the amplitude  = 2

 

Frequency  =  1 /period

 

1 / (4pi)  =  1 /period

 

So...the period = 4pi

 

So

 

B  =  2pi / [ period]   =   2pi / [ 4pi]  =  2 / 4    =  1 / 2

 

C = the shift up/down....since we have a y int of (0,2)....the normal sine function is shifted up 2 units....so C = 2

 

So....the function is

 

y = 2sin ( (1/2) x) + 2

Step-by-step explanation:

I hope this helps