Parabolas in Vertex Form

The vertex is the point (h, k) in the vertex form of a parabola, represented as y = a(x - h)² + k.

The 'a' value determines the direction the parabola opens: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

The axis of symmetry is the vertical line x = h, where (h, k) is the vertex.

The vertex form of a parabola is y = a(x - h)² + k.

If a parabola opens upwards, it has a minimum point at the vertex.

If a parabola opens downwards, it has a maximum point at the vertex.

If 'a' is positive, the vertex is a minimum; if 'a' is negative, the vertex is a maximum.

The vertex is the highest or lowest point of the parabola, depending on its direction.

You can convert standard form to vertex form by completing the square.

Changing the 'k' value shifts the parabola up or down on the graph.