The quadratic function is .
For this function a = 5 , 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 = 5 and b = 0)
The y-coordinate of the vertex by evaluating the function for = 0.
(Original function)
(
= 0)
The minimum value of the function is 0.
\
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 0.
\The domain is all real numbers.
\The range is .