Question 1120312
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A general quadratic function is given by:


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


If *[tex \Large f(-2)\ =\ 4] then


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4a\ -\ 2b\ +\ c\ =\ 4]	


If *[tex \Large f(0)\ =\ 6] then


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ c\ =\ 6]


If *[tex \Large f(4)\ =\ -38] then


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 16a\ +\ 4b\ +\ c\ =\ -38]


Using the fact that *[tex \Large c\ =\ 6] we can create a 2X2 linear system:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4a\ -\ 2b\ =\ -2]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 16a\ +\ 4b\ =\ -44]


Solve the 2X2 system to get the remaining two coefficients and then write your function.
							
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
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