Finding quadratic function from two points and known max value

08312017, 12:57 PM
Post: #1




Finding quadratic function from two points and known max value
I need to work this into a C# program for generating points along an arc, and the math is making me crosseyed.
Essentially, I know two points on the parabola, I know the y value of the maximum (but not x), and I know that the second derivative is negative, i.e. the coefficient of x^2 is negative. All the typical approaches of treating it as a system of 3 linear equations seem to rely on having three known points, but I've got two, plus an additional equation 2*a*x_3+b=0 where x_3 is unknown. Is there a straightforward way of tackling this without pulling a bunch of numeric and matrix libraries into the program? 

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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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