$\"\"$

The function is $\"\"$ .

Write the function in vertex form.

$\"\"$ (Original function)

$\"\"$ (Group $\"\"$ and factor, dividing by $\"\"$ )

$\"\"$ (Write $\"\"$ as a perfect square)

Find the vertex, axis symmetry and direction of opening.

The vertex form of a parabola is $\"\"$ where $\"\"$ is the vertex, $\"\"$ is the axis of symmetry and $\"\"$ determines the shape of the parabola and the direction in which it opens.

Vertex is $\"\"$ .

The equation of axis of symmetry is $\"\"$ .

The value of $\"\"$ is positive, so the parabola opens up.

$\"\"$

Vertex form of the function $\"\"$ , axis of symmetry is $\"\"$ and the parabola opens up.