The function is .

The standard form of quadratic function is .

Therefore, the values of .

a. Determine whether the function has maximum or minimum value:

The value of (positive), so the graph of function opens upward and has a minimum value.

b. Find the minimum value of the function:

The minimum value is y - coordinate of the vertex.

The x - coordinate of the vertex is .

To find the y - coordinate, substitute the value of  in the original equation, .

The minimum value is .

c. State the domain and range of the function:

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

a. The function has a minimum value.

b. The minimum value of the function is .

c. The domain is all real numbers and the range is .