Give the amplitude and period of the graph.
A)Amplitude = 9, period = π .
B)Amplitude = 18, period = 3 π .
C)Amplitude = 9, period = 3 π .
D)Amplitude = 18, period = .
E)Amplitude = 18, period = π .

Question

Give the amplitude and period of the graph.  ​
A)Amplitude = 9, period = π . 
B)Amplitude = 18, period = 3 π . 
C)Amplitude = 9, period = 3 π . 
D)Amplitude = 18, period = . 
E)Amplitude = 18, period = π .

Quizplus · Accepted Answer

The graph appears to have a maximum value of 9 and a minimum value of -9, indicating an amplitude of 9. The graph completes one full cycle (i.e. starts and ends at the same point) from 0 to 2π , indicating a period of 2π . However, since the question is asking for the period of sin(1/2 x), we need to divide the period by the coefficient of x, which is 1/2. 
So, period = 2π ÷ (1/2) = 4π = 12.57 (approx.) 
Therefore, the correct choice is C with Amplitude = 9, period = 3π .

Give the Amplitude and Period of the Graph