Which Set of Parametric Equations Represents the Following Line or Conic

question 26

Multiple Choice

Which set of parametric equations represents the following line or conic?
Use $x = h + a \sec \theta$ and $y = k + b \tan \theta$ .
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)
• \(\begin{array} { l }
• x = 7 + \sec \theta \\
• y = - 4 + \sqrt { 15 } \tan \theta
• \end{array}\)

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