Parabolas in Vertex Form

x = -\frac{b}{2a} where the equation is in the form y = ax^2 + bx + c.

The vertex is the point (h, k) in the vertex form equation y = a(x - h)^2 + k.

If 'a' in the vertex form y = a(x - h)^2 + k is positive, it opens up; if 'a' is negative, it opens down.

The vertex is the highest or lowest point of the parabola, depending on whether it opens up or down.

The value of 'a' determines the width and direction of the parabola; larger absolute values of 'a' make the parabola narrower.

Substitute x = 0 into the vertex form equation y = a(x - h)^2 + k.

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

The axis of symmetry is a vertical line that passes through the vertex of the parabola.

The axis of symmetry is given by the equation x = h, where (h, k) is the vertex.

It means the parabola opens downwards and the vertex is the highest point on the graph.