Why is a Parabola's Vertex at x = -b/2a

This video shows how to derive the vertex of a parabola, arriving at the formula x = -b/2a

The vertex is the point where the parabola changes direction and is located at either the highest or lowest point on the curve.

the x-coordinate of the vertex is located at x = -b/2a, and the y-coordinate can be found by plugging the x-coordinate into the equation.

0:00 General quadratic function form
0:35 Finding x-intercepts
1:31 Midpoint formula to get x = -b/2a

Видео Why is a Parabola's Vertex at x = -b/2a канала Cowan Academy