Question

Use the image to answer the question.

A coordinate plane shows a horizontal wave passing through it.

Write the equation for the trigonometric function based on its graph.

(1 point)
Responses

y=cos(x)−1
y is equal to cosine of x minus 1

y=cosx
y=cosx

y=sin(x)−1
y is equal to sine of x minus 1

y=cos(x)−2
y is equal to cosine of x minus 2
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Answer 1

y = cos(x) − 1

Reason: The graph has a horizontal tangent at x = 0 and passes through (0,0), so y(0)=0 and y'(0)=0. cos(0) − 1 = 0 and d/dx[cos x − 1] = −sin x which is 0 at x=0, so y = cos x − 1 fits.