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A parabola can be drawn given a focus of (1, 10) and a directrix of
y = 4. What can be said about the parabola?

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xero099

Answer:

The parabola has an absolute minimum and its vertex is located at (1, 7).

Step-by-step explanation:

Since the directrix is below the focus, we infer that parabola has an absolute minimum, where there is a vertex, which is the midpoint of the line segment between (1, 10) and (1, 4). By definition of midpoint, we conclude that vertex is located at (1, 7).

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