Posted by victor on Wednesday, August 3, 2011 at 8:25am.
The vertex is mid-way between the directrix and focal point:
D(0,5)
V(0,0)
F(0,y)
FV = VD = 1/4a = 5,
0 - y = 5,
Y = -5.
1/4a = 5,
Multiply both sides by 4a:
20a = 1,
a = 1/20.
Vertex Form: Y = a(x-h)^2 + k,
Y = 1/20(x-0)^2 + 0,
Eq: Y =(1/20)x^2
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