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
4.5
(261 Votos)
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
.