The quadratic function is .
For this function a = 12, 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 = 12 and b =
)
(simplify)
The y-coordinate of the vertex by evaluating the function for = 0.875 .
(Original function)
(
= 0.875 )
.
The minimum value of the function is .
The function has minimum value.
\The minimum value of the function is .