How do you find the vertex of an equation on a graph?

To find the vertex of a quadratic equation in the form (y = ax^2 + bx + c), you can use the formula (x = -\frac{b}{2a}) to determine the x-coordinate of the vertex. Once you have the x-coordinate, substitute it back into the equation to find the corresponding y-coordinate. The vertex is then the point ((x, y)) on the graph. For graphs of other types of functions, the vertex may need to be identified through other methods, such as completing the square or analyzing the graph's shape.