Question 1167091
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A parabola with an axis of symmetry parallel or coincident with the *[tex \Large y]-axis can be modeled by:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ ax^2\ +\ bx\ +\ c]


If the three given points are elements of the set of ordered pairs defined by the above function, then the following set of three linear equations in the variables a, b, and c must hold:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \(\frac{1}{4}\)a\ +\ \(\frac{1}{2}\)b\ +\ c\ =\ -\frac{5}{2}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \(\frac{9}{4}\)a\ +\ \(\frac{3}{2}\)b\ +\ c\ =\ -\frac{9}{4}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \(\frac{49}{4}\)a\ -\ \(\frac{7}{2}\)b\ +\ c\ =\ \frac{3}{2}]


Solve the 3X3 system to determine the coefficients of the desired quadratic function.

																
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
*[illustration darwinfish]


I > Ø
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
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