Step 1:

The vertex of the function is $\"\"$ .

The point on the graph of the function is $\"\"$ .

Vertex form of quadratic equation is $\"\"$ , where $\"\"$ is the vertex.

Substitute $\"\"$ and $\"\"$ in quadratic equation.

$\"\"$

Step 2:

The point $\"\"$ is passes through the function.

$\"\"$

Substitute $\"\"$ in the quadratic equation.

$\"\"$

The quadratic equation is $\"\"$ .

Solution :

The quadratic equation is $\"\"$ .