The quadratic function is .

For this function a = 1, so the graph opens up and the function has a minimum value.

The minimum value of the function is the y-coordinate of the vertex.

The - coordinate of the vertex is .

        (Substitute the values a = 1 and b = 12)

.

The y-coordinate of the vertex by evaluating the function for = .

         (Original function)

    ( =  )

or .

The minimum value of the function is .

The domain is all real numbers.

The range is all real numbers greater than or equal to minimum value ,or .

The function has minimum value.

The minimum value of the function is .

The domain is all real numbers.

The range is .