Write a cosine function that has a midline of y, equals, 5, commay=5, an amplitude of 2 and a period of start fraction, pi, divided by, 2, end fraction 2π​ .

Question

Write a cosine function that has a midline of y, equals, 5, commay=5, an amplitude of 2 and a period of start fraction, pi, divided by, 2, end fraction 2π​ .
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Solution 1

The general form of a cosine function is y = A cos(B(x - C)) + D, where:

  • A is the amplitude
  • B is the frequency, which is related to the period by the formula B = 2π / period
  • C is the phase shift, which is the horizontal shift
  • D is the midline, which is the vertical shift

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