question 10 next question determine the amplitude of the following graph.

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|). Geometrically, the amplitude is the distance from the mid - line of the graph to the maximum (or minimum) value of the function.

Step2: Identify the mid - line and maximum/minimum values

The mid - line of the given graph is (y = 0) (since the graph is symmetric about the (x) - axis). The maximum value of the function (the highest (y) - value) is (y = 1) and the minimum value is (y=-1).

Step3: Calculate the amplitude

Using the formula for amplitude (distance from mid - line to maximum/minimum), (A=\vert y_{\text{max}}-y_{\text{mid}}\vert). Here, (y_{\text{max}} = 1) and (y_{\text{mid}}=0), so (A=\vert1 - 0\vert=1) (or using (y_{\text{min}}=-1), (A=\vert- 1-0\vert = 1))