SOLUTION: What are the focus and directrix of the parabola with the equation y = 1/12x2? focus: (3, 0) ; directrix: y = –3 focus: (–3, 0) ; directrix: y = 3 focus: (0, 3) ; directrix:

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Question 723666: What are the focus and directrix of the parabola with the equation y = 1/12x2?
focus: (3, 0) ; directrix: y = –3
focus: (–3, 0) ; directrix: y = 3
focus: (0, 3) ; directrix: y = –3
focus: (0, –3) ; directrix: y = 3

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
The standard equation for a parabola with its axis vertical is:
...(1)
The vertex is (,).
The focus is (,).
The directrix is .
you have
...solve for

....write it in form given above

as you can see


...=>...
than,
the vertex is (,)=(,)
the focus is (, )= (, )=(,)
the directrix is ...=>.....=>..
so, your answer is:
focus: (,) ; directrix:


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