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 graph
In 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 = 0
y = 0.5 · sin (0 + 0.5π) + 1
y = 0.5 · sin 0.5π + 1
y = 0.5 + 1
y = 1.5
x = 0.5π
y = 0.5 · sin (0.5π + 0.5π) + 1
y = 0.5 · sin π + 1
y = 1
x = π
y = 0.5 · sin (π + 0.5π) + 1
y = 0.5 · sin 1.5π + 1
y = - 0.5 + 1
y = 0.5
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)
To learn more on sinusoidal functions: https://brainly.com/question/12060967
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