Identify the vertical stretching factor and period of the function. Answer exactly. \( f(x)=4 \csc \left(\frac{\pi}{2} x-\pi\right) \) Vertical stretching factor: Period:

The vertical stretching factor of the function \( f(x) = 4 \csc \left(\frac{\pi}{2} x - \pi\right) \) is 4, as this is the coefficient that multiplies the csc function. The period of the function can be determined from the argument of the cosecant function. The period is given by the formula \( \frac{2\pi}{b} \), where \( b \) is the coefficient of \( x \) in the argument. Here, \( b = \frac{\pi}{2} \), so the period is \( \frac{2\pi}{\frac{\pi}{2}} = 4 \). Vertical stretching factor: 4 Period: 4