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Find the equation of the parabola whose ...

Find the equation of the parabola whose is (2,-3) and directrix is x+4=0.

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To find the equation of the parabola with a given focus and directrix, we can follow these steps: ### Step 1: Identify the Focus and Directrix The focus of the parabola is given as \( (2, -3) \) and the directrix is given by the equation \( x + 4 = 0 \), which simplifies to \( x = -4 \). ### Step 2: Use the Definition of a Parabola A parabola is defined as the set of all points \( P(x, y) \) such that the distance from \( P \) to the focus is equal to the distance from \( P \) to the directrix. Mathematically, this can be expressed as: \[ ...
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