Which Set of Parametric Equations Represents the Following Line or Conic

Which set of parametric equations represents the following line or conic?
Use $x = h + a \sec \theta$ and $y = k + b \tan \theta$ .
Hyperbola: vertices $\quad ( - 5,7 ) , ( - 3,7 )$
foci $( - 8,7 ) , ( 0,7 )$

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

Correct Answer:

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