Vertex Form

The vertex form of a quadratic equation is given by $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

In the vertex form $$y = a(x - h)^2 + k$$ , the vertex is the point (h, k).

The value of 'a' indicates the direction of the parabola: if 'a' is positive, the parabola 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.

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

The vertex is (-3, -5).

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

To convert from standard form $$y = ax^2 + bx + c$$ to vertex form, complete the square.

The vertex is (1, 3).

The vertex form can be written as $$y = a(x - 4)^2 - 2$$ , where 'a' is a constant.