Find an Equation of the Parabola Described and State the Two

question 19

Multiple Choice

Find an equation of the parabola described and state the two points that define the latus rectum.
-Focus at $( 0,4 )$ ; directrix the line $y = - 4$

• A) \(y ^ { 2 } = 4 x\); latus rectum: \(( 9,2 )\) and \(( - 9,2 )\)
• B) \(x ^ { 2 } = 4 y\); latus rectum: \(( 2,4 )\) and \(( - 2,4 )\)
• C) \(x ^ { 2 } = 16 y\); latus rectum: \(( 8,4 )\) and \(( - 8,4 )\)
• D) \(x ^ { 2 } = 16 y\); latus rectum: \(( 4,8 )\) and \(( - 4,8 )\)

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