The numbers in a quadratic equation are really important because they help us find the highest or lowest point on its graph. Let’s make this easier to understand:

1. What’s Standard Form?
   A quadratic equation in standard form looks like this:
   y = ax² + bx + c

2. Finding the Vertex:
   The vertex is the special point on the graph. We can find where it is by using this formula for the x-coordinate:
   x = -b / (2a)
   This formula shows how the numbers a and b affect where the vertex is.

3. What about 'a'?

   • If a > 0, the graph opens up, and the vertex is the lowest point.
   • If a < 0, the graph opens down, which makes the vertex the highest point.

4. To Sum It Up:
   The position of the vertex not only shifts the graph to the left or right but also tells us if it has a minimum or a maximum value!

Understanding these numbers can really change how you see quadratic functions. It’s pretty cool! 🎉