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In the left Sketch you can control the shape and position of the parabola y = a x2 + b x + c by using the Controllers.
| Parabola & Coefficients | Zeros in the Complex Plane |
| [GeoScript-File 1] [GeoStyle-File] | [GeoScript-File 2] [GeoStyle-File] |
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Problems: How do the eigenvalues change when you change
c and keep the others fixed as b = 0, c = -1? a and keep the others fixed as b = 0, c = -1? b and keep the others fixed as b = 0, c = 1? |