Question

Find the equation of the parabola: y=ax^2+bx+c that passes through (2,0), (3,-1), and (4,0).

Answer 1

You need to solve the 3 equations below
\[
4 a+2 b+c=0\\ 9 a+3 b+c=-1\\ 16 a+4
b+c=0
\]

Answer 2

You get
\[\begin{array}{ccc}
a=1; & b=-6; & c=8;
\end{array}

\]

Answer 3

Ohhhh. I'm stupid. Okay thanks

Answer 4

yw