9514 1404 393
Answer:
y = -x^2 +3x +12
Step-by-step explanation:
The matrix equation will have x^2, x, and 1 as the coefficients of the variables a, b, c in each row.
[tex]\left[\begin{array}{ccc}16&4&1\\0&0&1\\49&7&1\end{array}\right]\cdot\left[\begin{array}{c}a\\b\\c\end{array}\right]=\left[\begin{array}{c}8\\12\\-16\end{array}\right][/tex]
The inverse of the coefficient matrix can be calculated using any of a number of web tools or calculators. The solution using the inverse matrix method is ...
[tex]\left[\begin{array}{ccc}-\dfrac{1}{12}&\dfrac{1}{28}&\dfrac{1}{21}\\\\\dfrac{7}{12}&-\dfrac{11}{28}&-\dfrac{4}{21}\\\\0&1&0\end{array}\right]\cdot\left[\begin{array}{c}8\\12\\-16\end{array}\right]=\left[\begin{array}{c}-1\\3\\12\end{array}\right][/tex]
The equation is ...
y = -x^2 +3x +12
