Question

The waveform passes through coordinates left parenthesis negative 2 pi comma 0 right parenthesis, left parenthesis negative pi comma 2 right parenthesis, left parenthesis 0 comma 0 right parenthesis, left parenthesis pi comma 2 right parenthesis, and left parenthesis 2 pi comma 0 right parenthesis.

Which of the following options correctly writes an equation for a cosine function, based on the given graph?

(1 point)

y=cos(x)+1


y=−cos(x)+1


y=−cos(x)


y=−cos(x−1)+1

Answer 1

y = −cos(x) + 1

Check: at x = 0, −cos0 + 1 = −1 + 1 = 0; at x = π, −cosπ + 1 = −(−1) + 1 = 2; at x = 2π, −cos2π + 1 = −1 + 1 = 0, etc., matching the given points.