Answer:
Explanation:
To find a function of the form y = A cos B(x - C) with the given properties, we can use the following formulas:
Amplitude A = |a|
Period B = 2π/b
Phase shift C = c
where a, b, and c are constants.
Given properties:
Amplitude: 1/5
Period: π/5
Phase Shift: 2π units to the right
From the formula for period, we have:
B = 2π/(π/5) = 10
From the formula for phase shift, we have:
C = -2π
Since the amplitude is positive, we can use A = 1/5. Therefore, the function is:
y = (1/5) cos 10(x + 2π)