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Vertical: y = a (x - h)2 + k If "a" is positive the parabola opens up and has a minimum value. If "a" is negative the parabola opens down and has a maximum value. |a| = 1; normal width |a| > 1; narrow width (vertical stretch) |a| < 1; wider width (vertical shrink) vertex (h, k) axis of symmetry: x = h The minimum or maximum is the same as the "y" value of the vertex. The vertex is the midpoint between the focus and the directrix. The eccentricity of a parabola is the distance from the focus to any point on the graph divided by the distance from that same point on the graph to the directrix. Since this the same for a parabola, the eccentricity, e = 1.
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