Which of the following equations matches the function shown above?

Answer:
C) y = sin(1/2x)
Step-by-step explanation:
This is a horizontal stretch of the parent graph, y = sin(x). It is stretched to have a period of 4π instead of 2π; this stretch would be applied by multiplying x by 1/2 before applying the sine function. Thus the correct answer is y = sin(1/2x).
The function in the image is represented by the equation y = ( 1 / 2) sin(x). The correct option is B.
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
This is a horizontal stretch of the parent graph, y = (1 / 2 )sin(x). It is stretched to have a period of 4π instead of 2π; this stretch would be applied by multiplying x by 1/2 before applying the sine function.
The graph of the function is attached with the answer below and the function is following a sinusoidal path. Therefore the correct answer is option B.
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