An asymptote is a line that the graph approaches, but never meets.
From the graph, we can see that there is a vertical line that the graph approaches at x=-2 but there is no horizontal line that the graph approaches. The graph is continuing to rise above the horizontal axis on the right side.
This means that the graph has a vertical asymptote at x=-2 and no horizontal asymptote. Therefore the statement that is true about the graph is part (b).