The equation for the function is y = 0.5 · sin (x + 0.5π) + 1, found by evaluating the expression and comparing its results with the graph. (Correct choice: B)How to determine the sinusoidal function related to a given graphIn this question we must determine a function associated to the graph, the quickest approach consists in evaluating each choice. The correct choice contains the three points presented in the figure.After a quick analysis we find that the function is y = 0.5 · sin (x + 0.5π) + 1, which is proved by direct evaluation:x = 0y = 0.5 · sin (0 + 0.5π) + 1y = 0.5 · sin 0.5π + 1y = 0.5 + 1y = 1.5x = 0.5πy = 0.5 · sin (0.5π + 0.5π) + 1y = 0.5 · sin π + 1y = 1x = πy = 0.5 · sin (π + 0.5π) + 1y = 0.5 · sin 1.5π + 1y = - 0.5 + 1y = 0.5The equation for the function is y = 0.5 · sin (x + 0.5π) + 1, found by evaluating the expression and comparing its results with the graph. (Correct choice: B)To learn more on sinusoidal functions: