Part 1: Write mathematical equations of sinusoids. 1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.

a) What is the phase shift, c, of this curve? (2 points)
b) What is the vertical shift, d, of this curve? (2 points)
c) What is the amplitude, a, of this curve? (2 points)
d) What is the period and the frequency factor, b, of this curve? (2 points
e) Write an equation using the cosine function that models this data set. (5 points)

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? (2 points)
b) What is the amplitude, a, of this curve? (2 points)
c) What is period and the frequency factor, b, of this curve? (2 points)
d) Write an equation using the sine function that models this curve. (5 points