How To Find This Quadratic Function?

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SUMMARY

The discussion focuses on determining the parameters of a quadratic function given three points: (0, 0), (1, 2), and (-1, 2). The recommended approach is to use an ansatz method to derive three linear equations based on these points. Solving these equations will yield the coefficients of the quadratic function in the standard form y = ax² + bx + c.

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  • Familiarity with linear equations and systems of equations
  • Basic knowledge of algebraic manipulation
  • Experience with function evaluation and graphing
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  • Learn how to derive quadratic equations from given points
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How to find the below quadratic function?

y = 0, x = 0
y = 2, x = 1
y = 2, x = -1

Thank you
 
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Guess, or make an ansatz and solve for the parameters (this will give 3 linear equations).
 

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