For graph to the right Amplitude Midline Period Equation usi

For graph to the right Amplitude: Midline: Period: Equation using sine: Equation using cosine:

Solution

a) amplitude =|(1-(-7))|/2 =4

b) mid line y=[1+(-7)]/2

y=-3

c)period =3-(-1)=4

d)equation using sine :

vertical shift D=-3

period =2/B=4 =>B=/2

y =4sin((/2)x) -3

d)equation using cosine

vertical shift D=-3

period =2/B=4 =>B=/2

phase shift =-C/B=1 =>C=-B=>C =-/2

y =4cos((/2)x-(/2)) -3