Which Set of Parametric Equations Represents the Following Line or Conic

Multiple Choice

Which set of parametric equations represents the following line or conic?
UseHyperbola:
vertices $(5,-3) ,(11,-3)$
foci $(0,-3) ,(16,-3)$

A) $x = - 8 + \sqrt { 55 } \sec \theta$
$y = 3 + 3 \tan \theta$

B) $x = 8 + \sqrt { 55 } \sec \theta$
$y = - 3 + 3 \tan \theta$

C)
$$\begin{array} { l } x = - 3 + \sqrt { 55 } \sec \theta \\y = 8 + 3 \tan \theta\end{array}$$

D)
$$\begin{array} { l } x = 8 + 3 \sec \theta \\y = - 3 + \sqrt { 55 } \tan \theta\end{array}$$

E)
$$\begin{array} { l } x = - 3 + 3 \sec \theta \\y = 8 + \sqrt { 55 } \tan \theta\end{array}$$