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Find the equation of the parabola with f...

Find the equation of the parabola with focus `(-3,0)` and the equation of the directrix is x = 3.

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To find the equation of the parabola with focus at \((-3, 0)\) and directrix at \(x = 3\), we can follow these steps: ### Step 1: Understand the properties of the parabola A parabola is defined as the set of all points that are equidistant from the focus and the directrix. The focus is at \((-3, 0)\) and the directrix is the vertical line \(x = 3\). ### Step 2: Determine the vertex The vertex of the parabola lies midway between the focus and the directrix. To find the vertex, we calculate the midpoint of the x-coordinates of the focus and the directrix. ...
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