Quadratic Function In Vertex Form

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

The parameter 'a' represents the vertical stretch or compression of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

The axis of symmetry for a quadratic function in vertex form y = a(x - h)² + k is the vertical line x = h.

The vertex of the parabola is (-2, -5).

A quadratic function opens upwards if the coefficient 'a' in the vertex form is positive, and it opens downwards if 'a' is negative.

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

The vertex is (1, 3).

To convert from standard form (y = ax² + bx + c) to vertex form, you can complete the square.

Changing the value of 'h' shifts the graph of the parabola horizontally. If 'h' increases, the graph shifts to the right; if 'h' decreases, it shifts to the left.

Changing the value of 'k' shifts the graph of the parabola vertically. If 'k' increases, the graph shifts up; if 'k' decreases, it shifts down.