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 in the vertex form $$y = a(x - h)^2 + k$$ indicates the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

The vertex is (5, -7).

The vertex is (4, 8).

The equation $$y = -\frac{1}{2}(x - 3)^2 + 5$$ represents a parabola that opens downwards.

The vertex represents the maximum or minimum point of the parabola, depending on whether it opens upwards or downwards.

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

The vertex is (-1, 3).

The vertex is (2, -4).