The general form of a quadratic equation is given by the expression:
[tex]ax^2+bx+c=0[/tex]A quadratic equation having a maximum value or point is one that has its value of a to be lesser than zero
(a < 0). Such a graph opens downwards
Therefore, any quadratic equation that has the a-value to be lesser than zero has a maximum point
Mathematically expressed as:
[tex]\begin{gathered} y=-x^2 \\ \Rightarrow a=-1 \end{gathered}[/tex]