Final answer:
The amplitude of the function y=5cos(x-Π) is 5, which is the coefficient in front of the cosine function and represents the maximum displacement from the equilibrium position in a wave.
Step-by-step explanation:
The amplitude of the function y=5cos(x-Π) is the coefficient in front of the cosine function. In this case, the amplitude is the absolute value of the coefficient, which is 5. The amplitude represents the maximum displacement from the equilibrium position in a wave or oscillatory motion, and in terms of the trigonometric function like the one given, it simply refers to the factor by which the cosine wave is stretched or compressed.
In a function of the form A cos(kx), A is the amplitude of the wave function, and k is the wave number, with λ being the wavelength. For this function, the amplitude dictates that each select point on the string, if representing a wave, oscillates up and down in simple harmonic motion, between y = +A and y = -A.