Horizontal Parabola Shifts

Loading the math board and drawing, please wait…

2017-04-22 18:43

In collections Conics Investigation

This example demonstrates the horizontal shifting of a parabola. Key mathematical concepts include the properties and transformations of parabolas. Using GeoGebra commands such as Parabola, Point, Segment, Intersect, etc., the shifting effect of the parabola is visually illustrated. Suitable for high school mathematics education, particularly in coordinate geometry and function transformations.

GeoGebra Commands & Parameters

Parabola(Focus, Directirix) → c
Point(c) → P
Segment(Focus, P) → g
OrthogonalLine(P, Directirix) → h
Intersect(Directirix, h) → C
Segment(C, P) → i
Distance(Focus, P) → distanceAB
Distance(C, P) → distanceCB
OrthogonalLine(Focus, Directirix) → f
Intersect(Directirix, f) → A
Segment(Focus, A) → j
Midpoint(Focus, A) → B
Angle(Directirix, i) → α