Parabola with Directrix, Focus, Axis of Symmetry by norms02
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This example demonstrates the basic concepts of a parabola, including its directrix, focus, and axis of symmetry. By adjusting parameters, you can observe the dynamic changes in the parabola. Key mathematical concepts include the definition of a parabola, its axis of symmetry, focus, and directrix. The construction uses GeoGebra objects such as h, k, c, d, focus, directrix, and axisSym.
GeoGebra Commands & Parameters
Numeric h(-0.2)Numeric k(1.1)Numeric c(1.2)(y - k)^(2) = 4 * c * (x - h)(h + c, k)x = h - cy = k
AI Drawing Prompt Reference
Draw a parabola with its focus at (h, k) shifted c units to the right, directrix as the vertical line x=h-c, and axis of symmetry as the horizontal line through the vertex (h, k). Adjust h, k, c to see how the parabola changes.
The prompt above was compiled from the original drawing commands and is for reference only.