SOLUTION: give the standard equation of (3x-2)^2=84y-12. Provide it's vertex, focus, directrix, axis of symmetry, latus rectum and endpoints of latus rectum.

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Question 1198612: give the standard equation of (3x-2)^2=84y-12. Provide it's vertex, focus, directrix, axis of symmetry, latus rectum and endpoints of latus rectum.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
we use the standard form

for parabolas that have an axis of symmetry parallel to the -axis














compare to







so
vertex is at (,)=(,)
focus:(,)=(, )=(, )
directrix:
axis of symmetry: so
latus rectum:
endpoints of latus rectum: (,) and (,)
(,) =(, )=(, )
and
(,)=(,)=(, )

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