# 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.
.
.
, and , what happens to the area under the curve?

**Task 1:**Show that the equation of the parabola is**Task 2:**Show that**Task 3:**If all three points are translated so that## New Resources

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