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write a cosine function that has a midline of y=3 an amplitude of 4, a period of 2, and a horizontal shift of (1)/(2) to the right.

Question

Write a cosine function that has a midline of y=3 an amplitude of 4, a period of 2, and a horizontal shift of (1)/(2) to the right. Answer Attemptiout of 2 f(x)=

Solution

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4.4 (209 Votos)
Inês Maria Profissional · Tutor por 6 anos

Resposta

To write a cosine function with the given parameters, we need to use the general form of a cosine function: where:- is the amplitude- is the frequency- is the horizontal shift- is the midlineGiven:- Midline: , so - Amplitude: 4, so - Period: 2, so - Horizontal shift: to the right, so Substituting these values into the general form, we get: Therefore, the cosine function that satisfies the given conditions is: