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in Parabola by (44.7k points)
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Find the equation of the parabola with focus F(0, -3) and directrix y = 3.

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Given equation of directrix : y = 3 

• y - 3 = 0 

Above equation is of the form, y - a = 0

Focus of the parabola F(0,-3) is of the form F(0,-a) 

Therefore, a = 3 

For directrix with equation y - a=0 and focus (0,-a), equation of the parabola is, 

x2 = - 4ay 

• x2 = - 12y

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