Answer:
y=2 cos (π/4x-π/4)
Step-by-step explanation:
Given
A cosine function has an amplitude of 2, a midline of 5 and a period of 8.
To find:
A cosine function.
Explanation:
Let the function be,
[tex]y=Acos(ws+p)[/tex]
Since amplitude is 2.
Then,
[tex]A=2[/tex]
Also, since the period is 8.
Then,
[tex]w=\frac{2\pi }{8}[/tex]
[tex]w=\frac{\pi }{4}[/tex]
And, since midline is 5.
Hence, the cosine function is,
y=2 cos ([tex]\frac{\pi }{4}[/tex]x-[tex]\frac{\pi }{4}[/tex]
