Answer: c. (0 -3)
A parabola has a vertex at the origin. The equation of the directrix of the parabola is y = 3. What are the coordinates of its focus?

It is proved in a preceding section that if a parabola has its vertex at the origin and if it opens in the positive y direction then its equation is y = x 2 / 4f where f is its focal length. Comparing this with the last equation above shows that the focal length of the parabola in the cone is r sin θ. Position of the focus

Thu Jan 03 2008 13:30:00 GMT-0500 (Eastern Standard Time) · Parabolas with center of inversion at the vertex . The equation of a parabola is up to ... x = y 2. In polar coordinates this becomes = ⁡ ⁡. The inverse curve then has equation = ⁡ ⁡ = ⁡ ⁡ which is the cissoid of Diocles. Conic sections with center of inversion at a focus . The polar equation of a conic section with one focus at the origin is up to similarity = + ⁡ where e is ...

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