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Find an Equation of the Parabola Described and State the Two

Question 1

Multiple Choice

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


A) y2=4xy ^ { 2 } = 4 x ; latus rectum: (9,2) ( 9,2 ) and (9,2) ( - 9,2 )
B) x2=4yx ^ { 2 } = 4 y ; latus rectum: (2,4) ( 2,4 ) and (2,4) ( - 2,4 )
C) x2=16yx ^ { 2 } = 16 y ; latus rectum: (8,4) ( 8,4 ) and (8,4) ( - 8,4 )
D) x2=16yx ^ { 2 } = 16 y ; latus rectum: (4,8) ( 4,8 ) and (4,8) ( - 4,8 )

Correct Answer:

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