Question 913711: Identify the focus point and the equation of the directrix for the parabola defined by these equations
I hope it's okay that I stick a couple of different scenarios, please explain how the answer is obtained. I don't even particularly need the answer; I have the answer key. I just don't know how to obtain said answer.
1. 2. 3.
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website! the vertex form of a Parabola opening up(a>0) or down(a<0),
where(h,k) is the vertex and x = h is the Line of Symmetry
p = , where the focus is (h,k + p) and the Directrix y = (k - p)
1. , V(0,0) a = 1, p = 1/(4a) , p = 1/4, F(0,.25) directrix y = -.25
2. , V(0,0) a = c, p = 1/(4c), F(0,1/(4c)) directrix y = -1/(4c)
3. V(-3,5),a = 1/4, p = 1/4a = 1, F(0,6) directrix y = 4
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