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What is the equation of the parabola with focus (0,1/4) and directrix y=-1/4

User Cyberpks
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1 Answer

23 votes
23 votes

Use the general form of the equation of a parabola, given by:

(x - h)² = 4p(y - k)

where (h,k) is the vertex of the parabola.

the vertex is half way in between the focus and the directrix:

the x coordinate of the vertex is the same of the focus, the y coordinate is:

y = (focus coordinate + directrix)/2 = (1/4 - 1/4)/2 = 0

then, the vertex of the parabola is:

(0,0)

p is the value of the distance in between the

User Hekomobile
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