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 $y = k + b \tan \theta$ .
$\begin{array} { l l l } \text { Hyperbola: } & \text { vertices } & ( - 5,7 ) , ( - 3,7 ) \\ & \text { foci } & ( - 8,7 ) , ( 0,7 ) \end{array}$

A)
$$\begin{array} { l } x = 4 + \sqrt { 15 } \sec \theta \\y = - 7 + \tan \theta\end{array}$$
B)
$$\begin{array} { l } x = - 4 + \sqrt { 15 } \sec \theta \\y = 7 + \tan \theta\end{array}$$
C)
$$\begin{array} { l } x = 7 + \sqrt { 15 } \sec \theta \\y = - 4 + \tan \theta \\\end{array}$$
D)
$x=-4+\sec \theta$
$$y = 7 + \sqrt { 15 } \tan \theta$$

E)
$$\begin{array} { l } x = 7 + \sec \theta \\y = - 4 + \sqrt { 15 } \tan \theta\end{array}$$