Which Set of Parametric Equations Represents the Following Line or Conic

Multiple Choice

Which set of parametric equations represents the following line or conic?
Use $x = h + a \sec \theta$ and $y = k + b \tan \theta$ .
$\begin{array} { l l l } \text { Hyperbola: } & \text { vertices } & ( - 10 , - 1 ) , ( 2 , - 1 ) \\ & \text { foci } & ( - 11 , - 1 ) , ( 3 , - 1 ) \end{array}$

A) $x = 4 + \sqrt { 13 } \sec \theta$
$y = 1 + 6 \tan \theta$
B) $x = - 4 + \sqrt { 13 } \sec \theta$
$y = - 1 + 6 \tan \theta$
C) $x = - 1 + \sqrt { 13 } \sec \theta$
$y = - 4 + 6 \tan \theta$
$x = - 4 + 6 \sec \theta$
D)
$y = - 1 + \sqrt { 13 } \tan \theta$
$x = - 1 + 6 \sec \theta$
E) $y = - 4 + \sqrt { 13 } \tan \theta$