SOLUTION: y2-8y+12x-8=0 what is the focus , directrix and the endpoints of latus rectum

SOLUTION: y2-8y+12x-8=0 what is the focus , directrix and the endpoints of latus rectum

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Question 1092269: y2-8y+12x-8=0 what is the focus , directrix and the endpoints of latus rectum

Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!

"16" will complete-the-square.

VERTEX (2,4)
FOCUS (-1,4)
DIRECTRIX x=5
EndPoints of LATUS RECTUM (-1,-2) and (-1,10)

-
-12(-1-2)=(y-4)^2
36=(y-4)^2
y-4=0+- 6
y=4+- 6
y=-2 or y=10
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