Parabola in Vertex Form by Glen Russell
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This example demonstrates the vertex form of a parabola. By adjusting the vertex coordinates and the opening parameter, the shape of the parabola can be observed. GeoGebra objects such as a, h, k, and c are used to construct the parabola. Suitable for high school mathematics education, helping students understand the properties and transformations of parabolas.
GeoGebra Commands & Parameters
Numeric a(1.0)Numeric h(0.0)Numeric k(0.0)y = a * (x - h)^(2) + k
AI Drawing Prompt Reference
Draw a parabola with its vertex at (0, 0) facing upwards, then adjust the vertex position and opening size to observe the changes in the parabola. First, draw the y-axis and x-axis, then set a to 1, h and k to 0, and use the formula y = a * (x - h)^2 + k to draw the parabola.
The prompt above was compiled from the original drawing commands and is for reference only.