Question

Plsss helpppp worth 100 points + other 2 questions

1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function. (1st picture)

a) What is the phase shift, c, of this curve?
b) What is the vertical shift, d, of this curve?
c) What is the amplitude, a, of this curve?
d) What is the period and the frequency factor, b, of this curve?
e) Write an equation using the cosine function that models this data set.

2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to model the curve using the sine function.
(4.5, 2), (1.5, 22)
a) What is the vertical shift, d, of this curve?
b) What is the amplitude, a, of this curve?
c) What is period and the frequency factor, b, of this curve?
d) Write an equation using the sine function that models this curve.

Answer 1

1.)

A.) phase shift is c = 6

B.) Vertical shift is 21 units down

C.) The amplitude is 5 from the midline at y = -21

D.) The period is 16 and the frequency factor is pi/8

E.) 5 cos(pi/8(x - 6)) - 21

2.)

Answer:

A.) Vertical shift is 12 units down

B.) The amplitude is 10

C.) The period is 6 and the frequency factor is pi/3

D.) Equation: y = 10sin(pi/3(x)) + 12

Explanation:

Answer 2

1.)

A.) phase shift is c = 6

B.) Vertical shift is 21 units down

C.) The amplitude is 5 from the midline at y = -21

D.) The period is 16 and the frequency factor is pi/8

E.) 5 cos(pi/8(x - 6)) - 21

2.)

Answer:

A.) Vertical shift is 12 units down

B.) The amplitude is 10

C.) The period is 6 and the frequency factor is pi/3

D.) Equation: y = 10sin(pi/3(x)) + 12