How to Shift and Transform a Parabola
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This example demonstrates how to shift a parabola vertically & horizontally and change its steepness by adjusting parameters. It involves core math concepts like quadratic functions, function graph transformations, and parameter manipulation. Constructed using GeoGebra commands/objects: Vector, Segment, yoffset, xoffset, steepness, sign_1, y_{x}, y_{w}, f, a, b, y_{y}, c, v_{xoffset}, v_{yoffset}, g, l, l_{1}, l_{w}, text1. Suitable for high school coordinate geometry and function graph transformation education.
GeoGebra Commands & Parameters
Vector((0, 0), (xoffset, 0)) → v_{xoffset}Vector((xoffset, 0), (xoffset, yoffset)) → v_{yoffset}Segment((xoffset, yoffset), (xoffset + 1, yoffset)) → lSegment((xoffset + 1, yoffset), (xoffset + 1, yoffset + 1)) → l_{1}Segment((xoffset + 1, yoffset), (xoffset + 1, yoffset + steepness)) → l_{w}