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Vertex of Parabola

Result

(v_x, v_y)
(assuming focus (f_x, f_y))

Visual representation


(drawn with rotation angle 0°)

Properties of parabola

semi-axis length | sqrt((f_x - v_x)^2 + (f_y - v_y)^2)
focal parameter | 2 sqrt((f_x - v_x)^2 + (f_y - v_y)^2)
eccentricity | 1
directrix | y = -f_x^2/(f_y - v_y) - (x f_x)/(f_y - v_y) + (3 f_x v_x)/(f_y - v_y) - (2 v_x^2)/(f_y - v_y) + (x v_x)/(f_y - v_y) - f_y + 2 v_y
(assuming focus (f_x, f_y) and vertex (v_x, v_y))

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