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A parabola has the origin as its focus and the line x=2 as the directrix. Then the vertex of the parabola is at

Question

A parabola has the origin as its focus and the line x=2 as the directrix. Then the vertex of the parabola is at

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Solution

The vertex of the parabola is halfway between the focus and the directrix. Given that the focus is at the origin (0,0) and the directrix is the line x=2, the vertex is at the point (1,0).

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