## Quadratic growth

Parameter is constant of second difference, and parameter is the value of x (1) when x (0) = 0

Functional shortcut:

Characteristics:

- Add amount that grows linearly with
- The first differences are arithmetic growth or linear
- The second differences are constant

Try to experiment with the interactive program of Quadratic Growth Model below. Input the initial value x(0) and constant g and h then click "Find" button to find x(n) and to show the plot.

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

See also: Dynamical System tutorial

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Preferable reference for this tutorial is
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Teknomo, Kardi (2015) Simple Growth Model. https:\\people.revoledu.com\kardi\ tutorial\Growth\