Question
Write a cosine function that has a midline of y=5 an amplitude of 4,a period of (pi )/(2) , and a horizontal shift of (pi )/(4) to the right. Answer Attemptiout of 2 f(x)=
Solution
4.6
(274 Votos)
Beatriz Maria
Mestre · Tutor por 5 anos
Resposta
To write a cosine function with the given parameters, we need to consider the following:1. Midline: The midline is the horizontal line that runs through the center of the cosine function. In this case, the midline is
.2. Amplitude: The amplitude is the distance from the midline to the maximum or minimum value of the cosine function. In this case, the amplitude is 4.3. Period: The period is the distance between two consecutive points where the cosine function repeats itself. In this case, the period is
.4. Horizontal shift: The horizontal shift moves the cosine function left or right. In this case, the horizontal shift is
to the right.Using these parameters, we can write the cosine function as:
This function has a midline of
, an amplitude of 4, a period of
, and a horizontal shift of
to the right.