Optimization
Revision as of 10:14, 15 May 2014 by WoweeG (talk | contribs) (Created page with "The '''optimization''' of a quadratic equation is the process to find the maximum or minimum of said quadratic. ==Process== It involves converting a...")
The optimization of a quadratic equation is the process to find the maximum or minimum of said quadratic.
Process
It involves converting a quadratic to the standard form 
by completing the square, then applying the Trivial Inequality. Then the maximum or minimum (it depends on which way the graph of the quadratic is facing) is 
.
Formula
To optimize a quadratic, one might use the method described above, or one could use this other, smoother, method:
If 
, then the quadratic 
reaches its minimum when 
, while when 
, the quadratic reaches its maximum when .
