Which Set of Parametric Equations Represents the Following Line or Conic

question 17

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 $\quad ( 5 , - 3 ) , ( 11 , - 3 )$
foci $( 0 , - 3 ) , ( 16 , - 3 )$

• A)
• \(\begin{array} { l }
• x = - 8 + \sqrt { 55 } \sec \theta \\
• y = 3 + 3 \tan \theta
• \end{array}\)
• B)
• \(\begin{array} { l }
• x = 8 + \sqrt { 55 } \sec \theta \\
• y = - 3 + 3 \tan \theta
• \end{array}\)
• 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)
• \(\begin{array} { l }
• x = - 3 + 3 \sec \theta \\
• y = 8 + \sqrt { 55 } \tan \theta
• \end{array}\)

---

Definitions:

Supreme Court

The highest federal court in the United States, with the ultimate judicial authority to interpret and decide upon the constitutionality of laws.

Watergate Scandal

A major political scandal in the early 1970s involving the Nixon administration's attempt to cover up its involvement in a break-in at the Democratic National Committee headquarters.

Constitutional Power

The authority granted by a constitution, especially the United States Constitution, to the different branches of government or to specific governmental roles.

Executive Order

A directive issued by the president or a governor that has the force of law, often used to manage operations of the federal government.