A parabola intersects the x axis at x=2 and x=8. What is the x corrdinate

The x coordinate of the parabola's vertex is: 5

Step-by-step explanation:

Although you didn't finish the phrases of the question, if they were asking the x-value for the x-coordinate of the parabola's vertex, which is a typical question for this type of problem, recall that the vertex is position equidistant from the parabola's branches because the parabola is a symmetric figure.

Therefore we need to find the point half way between x = 2 and x = 8.

Notice that the distance between these two points is "6" units, and half of such distance is "3" units, so the vertex must be located 3 units to the right of 2 (or equivalently 3 units to the left of 8).

Therefore, the x-coordinate of this parabola's vertex is "5"