Question

multiple - choice question
the point on the parabola where it changes direction is the _______ of a parabola.
symmetry
vertex
rewatch

Explanation:

A parabola is a U - shaped curve. The vertex is the point where the parabola changes direction. For a parabola given by the equation \(y = ax^{2}+bx + c\) (where \(a
eq0\)), if \(a>0\), the parabola opens upwards and the vertex is the minimum point (where the direction changes from decreasing to increasing). If \(a < 0\), the parabola opens downwards and the vertex is the maximum point (where the direction changes from increasing to decreasing). Symmetry in a parabola refers to the axis of symmetry (a vertical line \(x=-\frac{b}{2a}\) for \(y = ax^{2}+bx + c\)) which divides the parabola into two mirror - image halves, not the point of direction change.

Answer:

vertex