Identify the equation for the following graph:
(1 point)
y= -2 cos(2x)
y= -2 cos(x)
y= 2 cos(x)
y= 2 cos(2x)
Explain how you got the answer.
The equation for the given graph is y = -2 cos(2x).
To determine this, we need to look at the amplitude (2) and the period (π) of the cosine function displayed in the graph. The amplitude is the vertical distance from the midline to the peak (or trough) of the graph, which in this case is 2. The period is the distance it takes for the function to complete one full cycle, which in this case is π.
Therefore, the correct equation for the graph is y = -2 cos(2x), as the amplitude is 2 and the period is π, which matches the given graph.