Simonne has been following the stock ratings of Carter's Pork Bellies. She has noticed that the pattern can be modeled by a cosine function. During her observations, she has found the stock to have a maximum of x = 6, minimum of x = −2, and period of π. Which of the following cosine functions could model Simonne's stock rating?a. f(x) = 4 cos 2x − 4b. f(x) = 6 cos pi over 2 x + 2c. f(x) = 6 cos pi over 2 x − 4d. f(x) = 4 cos 2x + 2
Accepted Solution
A:
y=a cos (bx+c) + d Maximun: M=6 Minimum: m=-2 Period: P=π
d=(M+m)/2 d=(6+(-2))/2 d=(6-2)/2 d=4/2 d=2
P=2π/b π=2π/b Sollving for b. Cross multiplication: πb=2π Dividing both sides by π: πb/π=2π/π b=2