Answer
$${\bf{C}}$$
Work Step by Step
$$\eqalign{
& \frac{{{{\left( {x + 1} \right)}^2}}}{{64}} - \frac{{{{\left( {y + 2} \right)}^2}}}{{49}} = 1 \cr
& {\text{This equation is written in the form }}\frac{{{{\left( {x - h} \right)}^2}}}{{{a^2}}} - \frac{{{{\left( {y - k} \right)}^2}}}{{{b^2}}} = 1 \cr
& {\text{With: }}h = - 1,\,\,\,y = - 2 \cr
& ,{\text{Then}} \cr
& {\text{Tranverse axis: horizontal }} \cr
& {\text{Center: }}\left( {h,k} \right):\left( { - 1, - 2} \right) \cr
& {\text{Therefore, the solution in the column II is }}{\bf{C}} \cr} $$