Parabolas in Vertex Form

The Axis of Symmetry is given by the equation x = h, where (h, k) is the vertex of the parabola.

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

If 'a' in the vertex form y = a(x - h)² + k is positive, the parabola opens upwards. If 'a' is negative, it opens downwards.

The 'a' value affects the width and direction of the parabola. A larger absolute value of 'a' makes the parabola narrower.

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

To find the y-intercept, set x = 0 in the vertex form equation and solve for y.

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

If the parabola opens upwards, the vertex is a minimum point. If it opens downwards, the vertex is a maximum point.

Changing 'h' shifts the parabola left or right along the x-axis.

Changing 'k' shifts the parabola up or down along the y-axis.