SOLUTION: determine the equation of the directrix of the parabola y squared-24x+6y-105=0

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Question 1046567: determine the equation of the directrix of the parabola y squared-24x+6y-105=0
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2-24x%2B6y-105=0

y%5E2%2B6y=24x%2B105

24x%2B105=y%5E2%2B6y

24x=y%5E2%2B6y-105

24x=y%5E2%2B6y%2B9-9-105------completing the square

highlight_green%2824x=%28y%2B3%29%5E2-114%29
I put the equation into this form for a reason.
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Deriving equation of parabola if given focus and directrix
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Another example, but if vertex not at Origin