Find an equation for the curve with the given properties. Then sketch the curve. (Leave your answers exact.) A. The curve traced by the point P(a:, y), where the distance from P to the vertex of the parabola x2 2 4y is twice the distance from P to the focus of the parabola. B. The hyperbola with foci at (0, 2) and (0, 2) that passes through the point (12, 7)