How do you find the vertex if the equation is given ingiven in factored form?

If the equation is given in factored form and the roots are real, then you can identify the x-coordinate of the vertex by averaging the 2 root values. For example, if the roots are - 2 and 5, the x-coord. of the vertex is (-2+5) / 2, or 3/2.

Once you have this x value, subst. the value into the given equation to calculate y. Then write the vertex as (x, y).