function m is the result of a transformation on the parent tangent function. which equation could be used to…

Explanation:

Step1: Recall tangent - function transformation rules

The general form of a tangent - function transformation is $y = A\tan(B(x - h))+k$, where $h$ represents a horizontal shift. The parent tangent function is $y = \tan(x)$ with a period of $\pi$ and vertical asymptotes at $x=\frac{\pi}{2}+n\pi,n\in\mathbb{Z}$.

Step2: Analyze the horizontal shift

The parent tangent function $y = \tan(x)$ has a zero - point at $x = 0$. The given function $m(x)$ has a zero - point at $x=\pi$. A horizontal shift of the parent tangent function $y=\tan(x)$ to the right by $\pi$ units gives the function $y=\tan(x - \pi)$. Also, recall the property of the tangent function $\tan(x+\pi)=\tan(x)$ for all $x$ in the domain of the tangent function. The function $y = \tan(x+\pi)$ is equivalent to the function $y=\tan(x)$ (since the tangent function has a period of $\pi$), and $y=\tan(x-\frac{\pi}{2})$ and $y=\tan(x)-\frac{\pi}{2}$ do not match the transformation shown in the graph.

Answer:

A. $g(x)=\tan(x - \pi)$