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Parabola Focus & Directrix
Parabola Focus & Directrix
Focus, directrix, and vertex of a parabola
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Orientation
Vertical (y = ax² + bx + c)
Horizontal (x = ay² + by + c)
a (leading coefficient)
b (linear coefficient)
c (constant)
y = 0.5x² + (0)x + (-1)
Vertex
(0, -1)
Focus
(0, -0.5)
Directrix
y = -1.5
Axis of symmetry
x = 0
Focal parameter (p)
0.5
Latus rectum
2
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Parabola Focus & Directrix
Plot of the parabola with its vertex, focus, and directrix line.
directrix
F
V
