Questions: Drug the function to the appro

Solution Steps

The amplitude of the graph is the distance from the midline to the peak or trough. In this graph, the midline is at y=0 and the peaks are at y=4. Therefore, the amplitude is 4.

The period is the horizontal distance required for one complete cycle of the wave. The graph completes a full cycle from x= -π to x=3π (or x=0 to x=4π), so the period is 4π.

Since the graph starts at a maximum value resembling a cosine function, we'll use a cosine function. The general form is y = Acos(Bx), where A is the amplitude and the period is 2π/B. We already found the amplitude (A=4). To find B, we set the period equal to 2π/B and solve: 4π = 2π/B, so B = 1/2.

Final Answer