Write the equation of the graph given. Write the answer in the form y = A sin(Bt +
C) C + D.

Question

Quizplus · Accepted Answer

The equation y = A sin(Bt + C) represents a sinusoidal wave with an amplitude of A, period of 2π/B, phase shift of -C/B, and vertical shift of 0. Looking at the given graph, we can see that it is a sinusoidal wave with an amplitude of 1, period of π, phase shift of π/2, and vertical shift of 2. This matches the form y = 1 sin(2t + π/2), which simplifies to y = sin(2t + π/2). Therefore, the correct equation is y = sin(2t + π/2), which matches choice B).

Write the Equation of the Graph Given