Find an equation of cosine function with maximum of 7, minimum of -7 and period of 7

 

Step-by-step explanation:

y = A cos (Bx - C) + D

A = amplitude (vertical stretch)Period = 2π/BC/B = phase shiftD = vertical shift

The minimum is -7 and the max is 7 so A = 7 and D = 0

Period is 7.  Since P = 2π/B then 7 = 2π/B --> B = 2π/7

Nothing was stated about a phase shift so you can use any value for C. I chose C = 0.

Now, input A = 7, B = 2π/7, C = 0, & D = 0 into the equation

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.