Finding quadratic function from two points and known max value
08-31-2017, 01:03 PM
Post: #2
 grsbanks Senior Member Posts: 1,219 Joined: Jan 2017
RE: Finding quadratic function from two points and known max value

Just like a linear function can be defined with 2 points, a quadratic function needs 3 points to be defined.

The best you can get is a family of functions that pass through the two points you know and have the known maximum.

In the more general case, a polynomial of order n (ax^n+bx^(n-1)+cx^(n-2)...) requires n+1 points and you end up solving a system of n+1 simultaneous equations to get your coefficients.
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 Messages In This Thread Finding quadratic function from two points and known max value - Dave Britten - 08-31-2017, 12:57 PM RE: Finding quadratic function from two points and known max value - grsbanks - 08-31-2017 01:03 PM RE: Finding quadratic function from two points and known max value - Dave Britten - 08-31-2017, 01:09 PM RE: Finding quadratic function from two points and known max value - Nigel (UK) - 08-31-2017, 02:46 PM RE: Finding quadratic function from two points and known max value - Dave Britten - 08-31-2017, 05:02 PM RE: Finding quadratic function from two points and known max value - Dave Britten - 08-31-2017, 05:31 PM

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