Question

look at the graph: what is the equation of the vertical asymptote?

Explanation:

Step1: Recall the definition of vertical asymptote

A vertical asymptote is a vertical line \(x = a\) where the function approaches infinity or negative infinity as \(x\) approaches \(a\).

Step2: Identify the x - value from the graph

Looking at the graph, the vertical line that the function approaches (but does not touch) is \(x=-6\) (by observing the position on the x - axis where the graph has a 'break' and the two branches of the hyperbola - like graph approach).

Answer:

\(x = - 6\)