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Quadratic Growth Model

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Difference equation: 
Parameter is constant of second difference, and parameter is the initial value
Functional shortcut: 
Characteristics:
- Add amount that grows linearly with

- The first differences are arithmetic growth or linear
- The second differences are constant
Quadratic Graph 
- The shape is
for positive and for negative 
- The graph crosses the
-axis at (0, )
- The graph is symmetry with vertical symmetrical line at

- The highest or lowest point of the graph happens at

- The value
is called discriminant. If the discriminant is negative, the graph has no intercept (does not cross to -axis). If the discriminant is zero or positive, the graph has intercept at 
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See also: Dynamical System tutorial
Comments
for this tutorial
This tutorial is copyrighted.
Preferable reference for this tutorial is
Teknomo, Kardi. Simple Growth Model. http:\\people.revoledu.com\kardi\ tutorial\Growth\
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