Answer:
The amplitude is 2
The period is π/x
The phase shift is -2π/3
The vertical translation is -5
Step-by-step explanation:
The equation of the given function is G(x) = 2·cos[2·x·(x + 2π/3)] - 5
Comparing with the general equation for the cosine function, y = d + a·cos(b·(x - c))
Where:
[tex]\left | a \right |[/tex] = The amplitude
2·π/b = The period
c = The phase shift
d = Vertical shift
Therefore, we have;
The amplitude = 2
The period = 2·π/(2·x) = π/x
The phase shift = -2π/3 (The sign is opposite to in sign to the sign following it in the parenthesis of the angle of rotation
-5 = The vertical translation of the function G(x)
