Find an equation for the curve traced by the point P(x, y) if the distance from P to the vertex of the parabola x 2 4y is twice the distance from P to the focus Identify the curve

Question: Find an equation for the curve traced by the point P(x, y) if the distance from P to the vertex of the parabola x 2

Find an equation for the curve traced by the point P(x, y) if the distance from P to the vertex of the parabola x² = 4y is twice the distance from P to the focus. Identify the curve.

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