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GeoGebraGeoGebra Classroom

Towards Simpson's Rule

The filled red point can be moved to positive integer values of and integer values of . The unfilled point is restricted to the -axis but can be moved up and down. The unfilled point is dependent on but can be moved up and down. Task 1: Show that the equation of the parabola is . Task 2: Show that . Task 3: If all three points are translated so that , and , what happens to the area under the curve?