Final answer:
The amplitude of the given function is 4, the wave number is 7, the angular frequency is 2, and the phase shift is 2.
Step-by-step explanation:
The given function is of the form y(x, t) = A sin(kx - wt + p), where A is the amplitude, k is the wave number, w is the angular frequency, and p is the phase shift.
In the given function f(x) = -4 sin(7x + 2), the coefficient in front of sin(x) represents the amplitude, which is 4. The coefficient of x in sin(x) represents the wave number, which is 7. The coefficient of t in sin(x) represents the angular frequency, which is 2. The phase shift is given by the constant term, which is 2.