Question

Use the image to answer the question.

A curve is plotted on a coordinate plane. The curve begins in quadrant 2 and rises and descends multiple times, intersecting the x-axis at four points.
▶Click for Long Desc

Write the equation of the periodic function based on the graph.

(1 point)
Responses

y=−4cosx

y equals negative 4 cosine x

y=−14cosx

y equals negative Start Fraction 1 over 4 End Fraction cosine x

y=4cosx

y equals 4 cosine x

y=−4sinx

Answer 1

y = −4 cos x

Reason: The graph starts with x negative and y positive (quadrant II) and has amplitude 4. Evaluating at x = −π gives −4cos(−π) = 4, matching a positive peak on the left; the amplitude rules out −(1/4)cos x.