Question

Question
Use the image to answer the question.

A coordinate plane shows a wave passing through two data points A and B.
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Given the graph, write the equation of the periodic function.

(1 point)
Responses

y=sin(x)+1.5
y equals sine left parenthesis x right parenthesis plus 1.5

y=sin(x)+4.5
y equals sine left parenthesis x right parenthesis plus 4.5

y=cos(x)+2.5
y equals cosine left parenthesis x right parenthesis plus 2.5

y=sin(x)+2.5
y equals sine left parenthesis x right parenthesis plus 2.5
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Answer 1

y = cos(x) + 2.5

Reason: the midline is at y = 2.5 (average of the max and min), amplitude = 1, and the graph starts at a maximum (so it's a cosine shifted up), giving y = cos(x) + 2.5.