The vertex is an important point on the graph of a parabola. Here’s what you need to know about it:

• What is the Vertex?
  The vertex is the highest or lowest point on the parabola.
  For example, in the equation (y = ax^2 + bx + c):

  • If (a > 0), the vertex is the lowest point (called a minimum).
  • If (a < 0), the vertex is the highest point (called a maximum).

• How to Find the Vertex's Location:
  You can find the x-coordinate of the vertex using this formula:
  (x = -\frac{b}{2a}).
  Once you have the x-coordinate, you can plug it back into the equation to find the y-coordinate.

• Axis of Symmetry:
  The line (x = -\frac{b}{2a}) goes straight up and down through the vertex. This line divides the parabola into two equal parts.

• Intercepts:
  The vertex also helps us find the x- and y-intercepts. These points help to show the overall shape of the parabola.

In short, the vertex gives us important information about the direction, peak, and symmetry of the parabola!