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 'a' value indicates the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards.

The vertex is (-4, -6).

The vertex is (2, 3).

The vertex is (-5, -4).

The vertex is (-3, 2).

The vertex (h, k) is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

The vertex represents the maximum or minimum value of the function, and it is the point where the graph changes direction.

You can complete the square to convert a standard form equation $$y = ax^2 + bx + c$$ to vertex form $$y = a(x - h)^2 + k$$ .