Mathematics, 26.10.2020 17:20 coollid876
A vertical parabola goes through (1, -2), (-3, 10), and (4, 31). Use matrices to solve for D, E, and F, given the general form (since it is a vertical parabola there is not a term)
Answers: 3
, where a,b and c are constant.
![\[ \left[ {\begin{array}{cc} -2 \\ 10 \\31 \end{array} } \right]\]= \left[ {\begin{array}{ccc} 1 & 1 & 1 \\ 9 & -3 & 1 \\ 16 & 4 &1\end{array} } \right]\] \left[ {\begin{array}{cc} a \\ b \\c \end{array} } \right]\]](/tpl/images/0840/4645/71dab.png)
![\left[ {\begin{array}{ccc} a \\ b \\c \end{array} } \right]= \left[ {\begin{array}{ccc} 1 & 1 & 1 \\ 9 & -3 & 1 \\ 16 & 4 &1\end{array}\right]^{-1} \left[ {\begin{array} -2 \\ 10 \\31 \end{array} } \right]](/tpl/images/0840/4645/02799.png)
![\Rightarrow \[ \left[ {\begin{array}{ccc} a \\ b \\c \end{array} } \right]\]= \left[ {\begin{array}{ccc} 2 \\ 1 \\-5 \end{array} } \right]](/tpl/images/0840/4645/48824.png)
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A vertical parabola goes through (1, -2), (-3, 10), and (4, 31). Use matrices to solve for D, E, and...
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