Function Notations for quadratics Given $T(x) = ax^2 + bx + c$
Find $a,\,b$ and $c$ if $T(0) = -4$, $T(1) = -2$ and $T(2) = 6$
I first made $C$ for when $x = 0,\,-4$. But don't know were to go from here. 
Any help? 

Since $c=-4$, it follows $T(1)=a+b-4$ and $T(2)=4a+2b-4$. Also, you know $T(1)=-2$ and $T(2)=6$. You must find $a$ and $b$ satisfying
\begin{align*}
a+b-4&=-2\\
4a+2b-4&=6
\end{align*} 
