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
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: