Question

what is the phase shift of the function ( f(x)=sin(2x - 4) )?

Explanation:

Step1: Recall the formula for phase shift

For a function \(y = A\sin(Bx - C)+D\), the phase shift is given by \(\frac{C}{B}\).

Step2: Identify \(B\) and \(C\) in the given function

In the function \(f(x)=\sin(2x - 4)\), we have \(B = 2\) and \(C = 4\).

Step3: Calculate the phase shift

Using the formula \(\frac{C}{B}\), we substitute \(C = 4\) and \(B=2\). So, \(\frac{4}{2}=2\).

Answer:

\(2\)