Quadratic Function y=a(x-h)^2
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Graphing quadratic equations
This example demonstrates the graph of the quadratic function y=a(x-h)^2. Key mathematical concepts include quadratic functions, vertex, and axis of symmetry. By adjusting the values of a and h, the shape and position of the graph can be observed. The GeoGebra commands used are objects a, h, and c. Suitable for students at the junior high school level and above to learn about the properties and transformations of quadratic functions.
GeoGebra Commands & Parameters
Numeric a(1.0)Numeric h(6.0)y = (a * (x - h)^(2))
AI Drawing Prompt Reference
Draw a coordinate plane with a quadratic function graph. The graph is a parabola opening upward, with its vertex at the point (6, 0) and axis of symmetry being the vertical line x = 6. The shape of the parabola is controlled by a parameter a, currently set to 1, making it a standard parabola. Include coordinate axes, grid lines, and the parabola, with the vertex clearly marked. The overall layout should be clear for observing how the parabola shifts and stretches as parameters change.
The prompt above was compiled from the original drawing commands and is for reference only.