periodic functions online practice part 2\ncomplete this assessment to review what youve learned. it will…

periodic functions online practice part 2\ncomplete this assessment to review what youve learned. it will not count toward your grade.\nwhich of the following correctly describes the phase shift of the function $f(x)=cos(3x - \frac{pi}{2})$? (1 point)\n$\frac{3pi}{2}$\n$\frac{pi}{2}$\n$-\frac{pi}{6}$\n$\frac{pi}{6}$

periodic functions online practice part 2\ncomplete this assessment to review what youve learned. it will not count toward your grade.\nwhich of the following correctly describes the phase shift of the function $f(x)=cos(3x - \frac{pi}{2})$? (1 point)\n$\frac{3pi}{2}$\n$\frac{pi}{2}$\n$-\frac{pi}{6}$\n$\frac{pi}{6}$

Answer

Explanation:

Step1: Recall phase - shift formula

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

Step2: Identify values of B and C

In the function $f(x)=\cos(3x-\frac{\pi}{2})$, we have $B = 3$ and $C=\frac{\pi}{2}$.

Step3: Calculate the phase - shift

Using the formula $\frac{C}{B}$, we substitute the values: $\frac{\frac{\pi}{2}}{3}=\frac{\pi}{6}$.

Answer:

$\frac{\pi}{6}$