Answer
$${\bf{D}}$$
Work Step by Step
$$\eqalign{
& \frac{{{x^2}}}{9} - \frac{{{y^2}}}{{25}} = 1 \cr
& {\text{This equation is written in the form }}\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}} = 1 \cr
& {\text{With }}a = 3,\,\,b = 5{\text{ }} \cr
& {\text{,then the graph of this equation is a hyperbola centered at }}\left( {0,0} \right) \cr
& {\text{Tranverse axis: horizontal}} \cr
& {\text{Vertices: }}\left( { \pm a,0} \right):\left( { \pm 3,0} \right) \cr
& {\text{Therefore, the graph in the column II is }}{\bf{D}} \cr} $$