Describe the relationship between the graphs of f and g. Consider amplitude, period, and shifts.

Question

A: The period of g is two times the period of f.

B: The amplitude of g is one-half the amplitude of f.   

 C: The amplitude of g is two times the period of f.

D: The period of g is one-half the period of f

.E: The graphs of f and g differ only in their phase shift.

Answer 1

By looking at the two graphs,

both are cosine-like functions

both have amplitude 1,

both have phase shift 0,

f has period 2π and g has period π.

Therefore

D is true and all the other statements are false.