Question

Find an equation for the graph shown with the following information. Please type the equation in the form y=Asin(ωx) or y=Acos(ωx).

Answer 1

The equation representing the given graph is y = 0.2 sin(6.28x - 1.57) with a slope of -0.2.

Step-by-step explanation:

The equation representing the given graph is
`y = 0.2 sin(6.28x - 1.57).`

Comparing this equation with y = mx + b, we can see that the slope (m) of the graph is equal to -0.2. This represents a decreasing trend as x increases.

The constants A, ω, and x in the equation correspond to the amplitude, angular frequency, and x-coordinate respectively. In this case, A = 0.2, ω = 6.28, and x represents the x-coordinate.