Left-Opening or Right-Opening Parabola
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This example demonstrates left-opening or right-opening parabolas. It involves the basic properties of parabolas and geometric construction. By adjusting parameters a and b, the direction of the parabola's opening can be observed. The example uses text, sliders, and functions in GeoGebra. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Numeric a(1.0)Numeric b(2.0)Numeric p(-1.0)(y - b)^(2) = (4 * (p * (x - a)))x = (-p) + a(a + p, b)y = b