[MOVED] Conics: find Parabola eqn through given points

[Guest]

Find the equation of the parabola with its axis of symmetry parallel to the x-axis and which passes through the point (3,3), (6,5), (6,-3).

 

[pka]

\(\displaystyle \L\begin{array}{l}
x = ay^2 + by + c \\
3 = 9a + 3b + c \\
6 = 25a + 5b + c \\
6 = 9a - 3b + c \\
\end{array}\)
Solve for a, b, & c.

 

[Guest]

thank you

for your help