Determine the amplitude mid period for the sine curve in the
     Determine the amplitude mid period for the sine curve in the accompanying graph.  Write its equation in the form y = A sin(B [x - C]) + D.  ![Determine the amplitude mid period for the sine curve in the accompanying graph. Write its equation in the form y = A sin(B [x - C]) + D. Solutionamplitude A =  Determine the amplitude mid period for the sine curve in the accompanying graph. Write its equation in the form y = A sin(B [x - C]) + D. Solutionamplitude A =](/WebImages/5/determine-the-amplitude-mid-period-for-the-sine-curve-in-the-984945-1761505927-0.webp) 
  
  Solution
amplitude A =(3-(-5))/2 =4
period 2/B = 4
B=2/4
B=/2
phase shift is 0
so C =0
vertical shift =1 unit downward => D=-1
period =4 , apmplitude =4
equation y=4sin((/2)x) -1
![Determine the amplitude mid period for the sine curve in the accompanying graph. Write its equation in the form y = A sin(B [x - C]) + D. Solutionamplitude A =  Determine the amplitude mid period for the sine curve in the accompanying graph. Write its equation in the form y = A sin(B [x - C]) + D. Solutionamplitude A =](/WebImages/5/determine-the-amplitude-mid-period-for-the-sine-curve-in-the-984945-1761505927-0.webp)
