Question 23 • Precalculus
The period of y = cos(x) is 2π. Replacing x with x/3 gives y = cos(x/3), whose period is 6π: the input must increase by 6π for x/3 to increase by 2π. Thus, multiplying x by 1/3 increases the period by a factor of 3. Multiplying the cosine output changes the graph’s height, not its period.
AI-written and checked against the verified answer.