From the graph the vertex of the parabola is at ,
The parabola of the vertex is ,
, and
.
The point on the graph of the parabola ,
and
.
(Apply vertex form of the parabola equation: )
Now we can find a value.
(Substitute 3 for h, 0 for k, 6 for x and for y)
(Divide each side by 9)
\(Substitute for a, 3 for h, and 0 for k)
The vertex form of the parabola equation is .