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Unformatted text preview: 11.2: The Parabola The vertex V is the midpoint of the segment from F to D : d(F, V) = d(V, D). If d(F, V) = a, then 2a are two other points on the parabola; the line connecting them is called the latus rectum . Equations of parabolas with vertex (h, k) are (x-h) 2 = 4a(y-k) if axis of symmetry is vertical and (y-k) 2 = 4a(x-h) if axis of symmetry is horizontal. Find the equation of the parabola defined, find the two points that define the latus rectum, and graph the equation: 1. F = (-4, 0); V = (0, 0) 2. D: y = -1; F = (0, 1) a __Equation L.R. a Equation L.R. 3. V = (0, 0); contains (-2, -4) 4. F = (-4, -2); D: y = 4 Axis of Symmetry: x-axis...
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- Fall '08