Choose the function whose graph is given by: Choices:
A. y= cos(x+ 1)
B. y= cosx - 1
C. y= cos(x-1)
D. y= sin(x- 1)

O A. y= cos(x+ 1)
B. y= cosx - 1
Oc. y= cos(x-1)
D. y= sin(x- 1)

Greetings from Brasil...

In a trigonometric function

F(X) = ±UD ± A.COS(Px + LR)

UD - move the graph to Up or Down (+ = up | - = down)

A - amplitude

P - period (period = 2π/P)

LR - move the graph to Left or Right (+ = left | - = right)

So:

A) F(X) = COS(X + 1)

standard cosine graph with 1 unit shift to the left

B) F(X) = COS(X) - 1 = -1 + COS(X)

standard cosine graph with 1 unit down

C) F(X) = COS(X - 1)

standard cosine graph with shift 1 unit to the right

D) F(X) = SEN(X - 1)

standard Sine graph with shift 1 unit to the right

Observing the graph we notice the sine function shifted 1 unit to the right, then

(cosine star the curve in X and Y = zero. sine start the curve in Y = 1)

Not sure please ask your instructor for a better question elaborated.

Step-by-step explanation: