what is the horizontal asymptote? y = 2 x = -2 x = 2 y = -2

Explanation:

Step1: Recall asymptote definition

A horizontal asymptote is a horizontal line $y = k$ that the graph of a function approaches as $x\to\pm\infty$. Vertical asymptotes are of the form $x = a$.

Step2: Identify correct form

Since we want a horizontal asymptote, we ignore options of the form $x = a$ (i.e., $x=-2$ and $x = 2$). We are left with $y = 2$ and $y=-2$. Without seeing the graph details, but based on the form, a horizontal - asymptote is a $y$ - value.

Answer:

A. $y = 2$, D. $y=-2$ (We cannot determine which one is correct without more information about the graph, but these are the two horizontal - asymptote candidates among the options)