Vertex of a parabola

Definition

The vertex of a parabola is defined as the "tip" of the parabola — the point at the intersection of the parabola and a vertical bisection.

The vertex may be found by rewriting the quadratic into "vertex form," the intermediate state used in completing the square: $A(x+h{)}^2+k$. Then, the point $(-h,k)$ is the vertex.

The $y$-component of the vertex is the minimum of the function, if the function is increasing, or the maximum if the function is decreasing.

References

• https://mathbitsnotebook.com/Algebra1/Quadratics/QDVertexForm.html