look at the graph:\nwhat is the equation of the vertical asymptote?

Explanation:

Step1: Recall vertical asymptote definition

A vertical asymptote is a vertical line ( x = a ) where the graph approaches but never touches, and the function is undefined at ( x = a ). The graph's behavior (like approaching infinity or negative infinity) near ( x = a ) indicates the asymptote.

Step2: Analyze the graph's vertical behavior

Looking at the graph, the curves approach the ( y )-axis (where ( x = 0 )) from both sides. The left - hand curve approaches ( x = 0 ) from the left (( x<0 )) and the right - hand curve approaches ( x = 0 ) from the right (( x > 0 )). So the vertical line that the graph approaches is ( x = 0 ).

Answer:

( x = 0 )