I'm assuming you meant to write y = ax^2 or
![y = ax^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/qmzqqfsqntbvfxbyosflqd8wi1fjkld983.png)
If 'a' is positive, then the parabola opens upward
On the other hand if a < 0, then the parabola would open downward.
One way to remember is that 'a' being positive means that the parabola makes a positive happy smile; 'a' being negative means the parabola makes a negative sad frown.