Question

1 multiple choice 1 point find the amplitude of the sine curve shown below. 4 2 0 2 3 4 2 8 2

Explanation:

Step1: Recall the formula for amplitude

The amplitude \(A\) of a sine curve \(y = A\sin(x)\) is the absolute value of the maximum value of \(y\) (or the minimum value of \(y\)).

Step2: Identify the maximum value from the graph

From the graph, the maximum value of \(y\) is \(4\) and the minimum value is \(- 4\). Using the formula \(A=\vert y_{\text{max}}\vert\) (or \(A = \vert y_{\text{min}}\vert\)), we get \(A=\vert4\vert=4\)

Answer:

4