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If the points (0,4)a n d(0,2) are respec...

If the points `(0,4)a n d(0,2)` are respectively the vertex and focus of a parabola, then find the equation of the parabola.

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To find the equation of the parabola given the vertex and focus, we can follow these steps: ### Step 1: Identify the Vertex and Focus The vertex \( V \) of the parabola is given as \( (0, 4) \) and the focus \( S \) is given as \( (0, 2) \). ### Step 2: Determine the Orientation of the Parabola Since the vertex is above the focus, the parabola opens downwards. ...
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