Answer
We can tell if a quadratic function $f(x)=ax^{2}+bx+c$ has a maximum of minimum value based on the value of $a$.
If $a\gt0$, the function has a minimum value.
If $a\lt 0$, the function has a maximum value.
Work Step by Step
Let the quadratic function be $f(x)=ax^{2}+bx+c$.
If $a\gt0$, the function has a minimum value.
If $a\lt 0$, the function has a maximum value.