When you want to figure out if a quadratic function opens up or down, the key is to look at the leading coefficient. This is the number in front of the $x^2$ term. Here’s how it works:

• If the leading coefficient is positive (like $a > 0$), the graph opens upwards. You can picture a smiley face!

• If the leading coefficient is negative (like $a < 0$), the graph opens downwards. Imagine a frown!

So, all you need to do is check the leading coefficient in the standard form $y = ax^2 + bx + c$.

It’s really easy! This quick check can help you draw the graph in no time!