What cosine function represents an amplitude of 2, a period of 2π, a horizontal shift of π, and a vertical shift of −1?

f(x) = −1 cos πx + 2

f(x) = −1 cos (x − π) + 2

f(x) = 2 cos (x − π) − 1

f(x) = 2 cos πx − 1

Question

What cosine function represents an amplitude of 2, a period of 2π, a horizontal shift of π, and a vertical shift of −1?

f(x) = −1 cos πx + 2

 f(x) = −1 cos (x − π) + 2

 f(x) = 2 cos (x − π) − 1

 f(x) = 2 cos πx − 1

anonymous · Answer

WILL GIVE MEDAL TO WHOEVER IS CORRECT!

hartnn · Answer

general form of cos function : 
$\Large f(x) = A \cos (\dfrac{2\pi }{T}x- \alpha )+b$

where 
A = Amplitude
T =period
$\alpha$ = horizontal shift 
b = vertical shift

just plug in values!

anonymous · Answer

thank you! @hartnn

hartnn · Answer

welcome ^_^