Answer :
ANSWER
• Amplitude: 4
,• Period: π
,• Phase shift: -π/8 (to the right)
EXPLANATION
The generic equation for a cosine function is:
[tex]y=A\cos (B(x+C))+D[/tex]where
• A is the amplitude
,• 2π/B is the period
,• C is the phase shift to the left (if it's negative, then it's to the right)
,• D is the vertical shifit
In this equation:
[tex]y=4\cos (2x-\frac{\pi}{4})[/tex]We have to rewrite it so that it looks like the equation above. We take 2 as a common factor inside the cosine expression:
[tex]y=4\cos (2(x-\frac{\pi}{8}))[/tex]Now we clearly can see that
• A = 4
,• C = -π/8
,• D = 8
,• B = 2 so the period is 2π/2 = π