Identify the vertical stretching factor and period of the function. Answer exactly. \( f(x)=3 \tan (4 x-8) \) Vertical stretching factor: Period:

The vertical stretching factor of the function \( f(x) = 3 \tan(4x - 8) \) is 3, which means the graph of the tangent function is stretched vertically by a factor of 3. To find the period, we use the formula for the period of a tangent function, which is given by \( \frac{\pi}{|b|} \), where \( b \) is the coefficient of \( x \) inside the function. Here, \( b = 4 \), so the period is \( \frac{\pi}{4} \).