Will mark brainliest which of the following could be the equation of the function below?

y = 0.5cos(4(x+π/2)) -2

Step-by-step explanation:

The centerline of the oscillation is at -2, so only the 2nd and 4th choices are viable.

The multiplier of x is computed from (2π)/period. One period is π/2, so the multiplier of x is ...

... 2π/(π/2) = 4 . . . . . matching the 2nd selection.

The horizontal offset in the second equation (π/2) is of no consequence, as it is one full period of the function.

The peak-to-peak amplitude of the oscillation is 1 unit, so the multiplier of the cosine function (which usually has a peak-to-peak value of 2 units) is 0.5. Every offered answer has that characteristic.

The appropriate choice is the 2nd one:

... y = 0.5cos(4(x+π/2)) -2

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.

you need to add a picture