Find the equation which is an displacement of $x² - 3x + 4$ and passes though point $(-3, 3)$ and $(2, 8)$
I've already mounted an simple system of equations which looks obvious
$$\begin{align} 8 &= 4a + 2b + c \\ 3 &= 9a - 3b + c \end{align}$$
but I'm stuck here, does someone know where to go now ? thanks in advance.