An Equation of the Form $x ^ { 2 } = 4 p y$

question 130

Multiple Choice

An equation of the form $x ^ { 2 } = 4 p y$ is given. Identify the focus and the endpoints of the latus rectum.
- $$x ^ { 2 } = - 12 y$$

• A) focus: \(( 0 , - 3 )\); endpoints of latus rectum: \(( - 12 , - 3 ) ; ( 12 , - 3 )\)
• B) focus: \(( 0,3 )\); endpoints of latus rectum: \(( - 12,3 ) ; ( 12,3 )\)
• C) focus: \(( 0 , - 3 )\); endpoints of latus rectum: \(( - 6 , - 3 ) ; ( 6 , - 3 )\)
• D) focus: \(( 0,3 )\); endpoints of latus rectum: \(( - 6,3 ) ; ( 6,3 )\)

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