Animation: Move a parabola

Joseph Conklin shared this question 8 months ago
Answered

Hello, Geogebra experts! Is it possible to animate a parabola to move? Let's say you want to move a parabola described by x^2 - 2x - 3 over to x^2 - 3x - 4, and show the parabola and any points on it moving. If possible, can you please provide the steps, or point to a tutorial?

Thank you.

Comments (1)

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It depends on how you want to move the first parabola.

A simple example is attached. Create f: y= x^2-2x-3 and g: y=x^2-3x-4 and a slider a with values in [0,1]

Create the vertex VF of f, and the vertex VG of f.

Create the u=Vector(VF,VF), then create f'=Translate(f, a u)

Move the slider or select its Animation feature to move the first parabola over the second.

See the attached file.

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