Horizontal Parabolas
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This example demonstrates the geometric properties of horizontal parabolas. It involves basic concepts of parabolas, and by adjusting parameters h, k, and p, one can observe changes in the position, direction, and shape of the parabola. The construction uses GeoGebra objects such as points, vectors, and loci. Suitable for high school mathematics education and learning about parabolas.
GeoGebra Commands & Parameters
Numeric h(1)Numeric k(1)Numeric p(1)(h, k)(h + p, k)x = h - p(y - k)^(2) = ((4 * p) * (x - h))
AI Drawing Prompt Reference
Draw a horizontal parabola and adjust its position, direction, and shape by changing the values of h, k, and p. Start by setting the values of h, k, and p, then plot points (h, k) and (h + p, k), draw a vertical line x = h - p, and finally use the equation (y - k)² = 4p(x - h) to plot the parabola.
The prompt above was compiled from the original drawing commands and is for reference only.