Question
Write a cosine function that has a midline of y, equals, 2, commay=2, an amplitude of 5 and a period of 11. f(x)=
Answers
GPT 3.5
The general form of a cosine function is given by:
f(x) = A*cos(B(x-h)) + k
Given:
Midline (k) = 2
Amplitude (A) = 5
Period = 11
To find B, we use the formula:
B = 2π / period
B = 2π / 11
Thus, the cosine function with the given specifications is:
f(x) = 5*cos((2π/11)(x-h)) + 2
Please note that "h" is not specified in the question, so we cannot determine its value.
f(x) = A*cos(B(x-h)) + k
Given:
Midline (k) = 2
Amplitude (A) = 5
Period = 11
To find B, we use the formula:
B = 2π / period
B = 2π / 11
Thus, the cosine function with the given specifications is:
f(x) = 5*cos((2π/11)(x-h)) + 2
Please note that "h" is not specified in the question, so we cannot determine its value.