Subject: Mathematics
Book: Maths Mastery
A parabola can be defined by its focus (point) and directrix (line). Every point on the parabola is equidistant from the focus and directrix. In standard form y–k= (1/(4p))(x–h)², the focus is (h, k+p) and directrix y=k–p, if the parabola opens up/down. Similarly, for sideways orientation, swap roles of x and y. Focus-directrix properties matter in optics (reflecting signals to the focus) or engineering design. Understanding them fosters deeper insight into conic geometry, bridging pure math with real-life reflectors or dish shapes.
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