Question

Consider the function y(θ) = 13 + 8cos(7θ)

(a) What is the amplitude of the function?


(b) What is the period of the function?


(c) What is the largest value of the function?

Answer 1

in a form y= acos(nx-b)+c, a is amplitude, n tells period, b tells you horizontal shift, c tells you vertical shift.

Answer 2

y(x)=8cos(7x)+13; so a is 8, n is 7, c is 13. amplitude is 8, vertical shift upward by 13.

Answer 3

period is 2pi/n. So period shall be 2pi/7

Answer 4

the formula for period is 2pi/n or in this case?

and largest value can be found through domain?

Answer 5

only in this case*

Answer 6

Didn't you just say that 13 is the vertical shift?

Answer 7

largest value is amplitude + verticall shift. so... 8+13= 21

Answer 8

okay, just threw me off because of the Horizontal and Vertical. Thank you.