Finding quadratic function from two points and known max value

08312017, 01:03 PM
Post: #2




RE: Finding quadratic function from two points and known max value
Short answer: nope.
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^(n1)+cx^(n2)...) 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  08312017, 12:57 PM
RE: Finding quadratic function from two points and known max value  grsbanks  08312017 01:03 PM
RE: Finding quadratic function from two points and known max value  Dave Britten  08312017, 01:09 PM
RE: Finding quadratic function from two points and known max value  Nigel (UK)  08312017, 02:46 PM
RE: Finding quadratic function from two points and known max value  Dave Britten  08312017, 05:02 PM
RE: Finding quadratic function from two points and known max value  Dave Britten  08312017, 05:31 PM

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