Who is asking: Student
how do you find the focus, vertex, and directrix of 4x-y^2-2y-33=0
I think that you should begin by expressing the parabola in standard form. First write
Now add one to both sides and the expression becomes
This expression can be written as
Now you can find the focus, vertex, and directrix in terms of s and t and then express them in terms of x any y using the fact that t = y+1 and s = x-8.
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