Which of the following would best represent a cosine function with an amplitude of 3, a period of pi over 2, and a midline at y = - 4?

f (x) = - 4 cos 4x + 3

f (x) = 3 cos (x - pi over 2) - 4

f (x) = 4 cos (x - pi over 2) + 3

f (x) = 3 cos 4x - 4

Question

Magdalena Roth

Mathematics

7 January, 14:50

Which of the following would best represent a cosine function with an amplitude of 3, a period of pi over 2, and a midline at y = - 4?

f (x) = - 4 cos 4x + 3

f (x) = 3 cos (x - pi over 2) - 4

f (x) = 4 cos (x - pi over 2) + 3

f (x) = 3 cos 4x - 4

+3

Answers (1)

Know the Answer?

Owen Santana · Answer 1

The second choice is the correct answer I believe. Mid-line is always at the end so the only options you would have is the second choice and the last but you cant have your period equal to zero.

Which of the following would best represent a cosine function with an amplitude of 3, a period of pi over 2, and a midline at y = - 4?f (x) = - 4 cos 4x + 3f (x) = 3 cos (x - pi over 2) - 4f (x) = 4 cos (x - pi over 2) + 3f (x) = 3 cos 4x - 4

Which of the following would best represent a cosine function with an amplitude of 3, a period of pi over 2, and a midline at y = - 4?

f (x) = - 4 cos 4x + 3

f (x) = 3 cos (x - pi over 2) - 4

f (x) = 4 cos (x - pi over 2) + 3

f (x) = 3 cos 4x - 4