Final answer:
The coordinates of the vertex of a parabola can be found by using the formula x = -b/2a and substituting this value into the equation to find the corresponding y-coordinate.
Step-by-step explanation:
In mathematics, when two distinct normal lines to a parabola intersect, we can compute the coordinates of the limit of that intersection point as one normal line approaches the other. This limit point is known as the vertex of the parabola, and it represents the point of highest or lowest value on the parabola's graph.
To find the coordinates of the vertex, we can use the formula: x = -b/2a and substitute this value into the equation to find the corresponding y-coordinate.
For example, if we have the equation of a parabola as y = ax2 + bx + c, we can find the vertex by calculating x = -b/2a and then substituting this value into the equation to find the corresponding y-coordinate.