determine the amplitude of the following graph. answer submit answer

Answer:

$1$

Explanation:

Step1: Recall the formula for amplitude

The amplitude of a sinusoidal function (y = A\sin(Bx - C)+D) or (y = A\cos(Bx - C)+D) is given by (|A|). It can also be calculated as (\frac{\text{Maximum value}-\text{Minimum value}}{2}).

Step2: Identify the maximum and minimum values from the graph

From the graph, the maximum value (y_{max}=- 1) and the minimum value (y_{min}=-3).

Step3: Calculate the amplitude

Using the formula (\text{Amplitude}=\frac{y_{max}-y_{min}}{2}), we substitute (y_{max}=-1) and (y_{min}=-3). Then (\text{Amplitude}=\frac{-1-(-3)}{2}=\frac{-1 + 3}{2}=\frac{2}{2}=1).