Specify the period and amplitude for the function.
A) period: 8; amplitude: 8
B) period: 4; amplitude: 16
C) period: 2; amplitude: 16
D) period: 4; amplitude: 8
E) period: 2; amplitude: 8

Question

Specify the period and amplitude for the function. 
A) period: 8; amplitude: 8 
B) period: 4; amplitude: 16 
C) period: 2; amplitude: 16 
D) period: 4; amplitude: 8 
E) period: 2; amplitude: 8

Quizplus · Accepted Answer

The period can be found by looking at the horizontal distance between two consecutive peaks or troughs. In this case, the distance is 4 units. Therefore, the period is 4. The amplitude can be found by measuring the vertical distance between the center (or mean) of the graph and one of the peaks or troughs. In this case, the distance is 8 units. Therefore, the amplitude is 8. Choice D matches these values.

Specify the Period and Amplitude for the Function