The vertex of the graph of quadratic function is _________.

The correct answer is:

The parabola's vertex is where its axis of symmetry is crossed at (h, k). Vertex location is determined by the parabola's standard equation.
The vertex point is often represented by (h, k). We are aware that a parabola's conventional equation is y=ax²+bx+c. The vertex in this case should be near the base of the U-shaped curve if the coefficient of x² is positive. The vertex should be at the peak of the U-shaped curve if the coefficient of x² is negative.
The vertex of a quadratic equation in the standard form is .
a, b and c are the terms which are present in the quadratic equation. So we have the equation as:
x² - x - 2 = 0
Here a=1, b=-1, c=-2
x - coordinate =
=
=
=

Here we used the concept of vertex of the parabola which is basically represented by (h, k).  We used the vertex formula to find the vertex of the given equation.  So the vertex of the equation x²-x-2=0 is  .