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write a cosine function that has a midline of y=5 an amplitude of 4,a period of 2, and a horizontal shift of 1 to the left. answer

Question

Write a cosine function that has a midline of y=5 an amplitude of 4,a period of 2, and a horizontal shift of 1 to the left. Answer Attemptiout of 2 f(x)=

Solution

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Aline Maria Veterano · Tutor por 11 anos

Resposta

Explicação

The general form of a cosine function is , where:- is the amplitude,- is the frequency,- is the horizontal shift, and- is the midline.Given that the midline is , the amplitude is 4, the period is 2, and the horizontal shift is 1 to the left, we can substitute these values into the general form of the cosine function.The amplitude is given as 4, so .The period of a cosine function is given by . We are given that the period is 2, so we can solve for as follows: , which gives .The horizontal shift is given as 1 to the left, which means .The midline is given as , so .Substituting these values into the general form of the cosine function gives .