# Towards Simpson's Rule

- Author:
- Gareth Daniels

- Topic:
- Parabola

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