One method that can help you determine if there is a maximum or minimum is if you graph the equation.
After graphing, we can see that it is a parabola. Since the parabola is concave up, we know that there will be a minimum.
In order to find the min value of the graph, locate the lowest point on the graph.
The lowest point is when f(x)=-14. In order to find x, we have to plug f(x) back into the equation and solve to find x.
Add -14 to both sides.
Therefore, the min value of the function is (4, -14)