Question

What is the amplitude of the sinusoidal function?

Answer 1

Answer: 4

Step-by-step explanation: Amplitude has to do with how high and low the function goes according to the midline. The midline for this function is at -3. The maximum point is 1, and the minimum point is -7. The function goes up 4 units and down 4 units

Answer 2

Amplitude = 4

Explanation:

The amplitude of a sinusoidal function is the height (vertical distance) from the midline to the peak (or trough).

To calculate the amplitude, simply divide the vertical distance between the maximum and minimum y-values by 2.

From inspection of the given graph:

• Maximum y-value = 1
• Minimum y-value = -7

Therefore:

`\implies \sf Amplitude = (1-(-7))/(2)=(8)/(2)=4`