Question

Determine which function is represented by the graph.

(a) f ( x ) = 4 cos ( x + π )
(b) f ( x ) = 4 cos 4 x
(c) f ( x ) = 4 sin ( x − π )
(d) f ( x ) = − 4 cos ( x + π )
(e) f ( x ) = 1 − sin x /2

Answer 1

The graph appears to be a cosine function that has been shifted π units to the left and vertically reflected.

Option (d) represents this transformation:

f(x) = -4 cos(x + π)

Therefore, the answer is (d).

Explanation: