Final answer:
The amplitude of the function is 5, the period is approximately 2.09, and the phase shift is 2.
Step-by-step explanation:
The given function is: f(x) = -5sin(3x-6).
To find the amplitude, period, and phase shift of the function, we need to write the equation in the form: y(x, t) = A sin(kx - wt + p).
Comparing this form with the given function, we can determine the amplitude, period, and phase shift.
The amplitude is the absolute value of the coefficient of sin, which is 5.
The period is 2π divided by the coefficient of x, which is 3. Therefore, the period is approximately 2.09.
The phase shift is the constant term inside the sin function, which is 6. However, since the x term is multiplied by 3, the phase shift is 6/3 = 2.