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 5 for h, 4 for k, 6 for x and 1 for y)
\(Subtract 4 from each side)
\(Substitute for a, 5 for h, and 4 for k)
The vertex form of the parabola equation is .