Question

look at the graph:
graph of a hyperbola with x-axis from -10 to 10 and y-axis from -10 to 10, passing through the origin, with horizontal asymptote
what is the equation of the horizontal asymptote?

Explanation:

Step1: Identify horizontal asymptote behavior

A horizontal asymptote is a horizontal line that the graph approaches as $x$ approaches $+\infty$ or $-\infty$. Observe the graph: as $x$ moves toward positive and negative infinity, the blue curve approaches a constant $y$-value.

Step2: Determine the target y-value

From the grid, the graph approaches the horizontal line where $y = -6$.

Answer:

$y = -6$