The quadratic function is .

For this function a = , so the graph opens down and the function has a maximum value.

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

The - coordinate of the vertex is .

        (Substitute the values a = and b = )

. \ \

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

           (Original function)

     ( =  )

or 37.5.

The maximum value of the function is 37.75.

The domain is all real numbers.

The range is all real numbers less than or equal to maximum value ,or .

The function has maximum value.

The maximum value of the function is 37.75.

The domain is all real numbers.

The range is .