$\"\"$

Observe the graph;

The vertex of the parabola is at $\"\"$ ,So $\"\"$ and $\"\"$ .

Since $\"\"$ is a point on the graph, it satisfies the vertex form of the parabola.

Vertex equation form is $\"\"$ .

Find $\"\"$ .

$\"\"$ (Vertex form)

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

$\"\"$ (Simplify)

$\"\"$ (Subtract $\"\"$ from each side)

$\"\"$ (Apply additive inverse property: $\"\"$ )

The equation of the parabola in vertex form is $\"\"$ . $\"\"$

The equation of the parabola in vertex form is $\"\"$ .