Quadratic Relations

Unlike the vertex form of a quadratic (y = a(x – h)² + k) which exposes the vertex of a parabola (h, k), the factored form (y = a(x – r)(x – s)) exposes the roots of the parabola – that is, if they exist. For example, if we have a…

One thing to be mindful of quadratics is that they come in many different forms. Take for example, y = 2x² + 2x – 4. A quadratic whose x² and x term are visible is in its general form (in bold for clarity). This equation can be rewritten in two other…

The simplest quadratic equation is: y = x² If you were to graph this using a table of values, it would look like the graph on the left. Notice that vertex is directly at (0, 0). But a world where all parabolas are fixated at the origin would be boring.…

A polynomial equation of second degree (i.e. x²) is called a quadratic equation. It is common practice to refer to it simply as a quadratic. A quadratic is in general form when it is written in the following form, where a, b, and c are constants: y = ax² +…