Quadratic Function
This is an example of a Quadratic Function. A Quadratic function is a function that can be described by the equation f(x) = ax2 + bx + c, where a ≠ 0 and a, b and c are the constants.This equation is the Standard Form. Quadratic functions are nonlinear functions that are represented by parabolas. Parabolas are ∪-shape and open either upward or downward depending on the sign of the coefficient A. When you graph a quadratic function, there will be either a maximum point if the parabola opens down or a minimum point if the parabola opens up. This point is called the vertex. The domain of a function is the set of x-values that make that function true. The range of a function is the set of y-values that make that function true. Quadratic functions are symmetrical. You can draw a line down the middle of the parabola and that is the axis of symmetry. The roots of a Quadratic Function are the x-intercepts using the formula f(x)=ax^2 + bx +c. Quadratic functions have asymptotes, which is a line that is close to a curve but it never touches the curve, distance of line with that curve tends to zero as the curve approaches infinity. There are three types of asymptotes; horizontal asymptotes, vertical asymptotes and oblique asymptotes. Quadratic formulas, completing the square for example, has been around since 2000 BC when the Babylonians first developed it. Shortly after, China developed it as well. The Quadratic formula is important because without the formula, one would not be able to graph a Quadratic Function. In Babylonia, Egypt, Greece, China and India, they used geometric methods to solve quadratic equations. Bhaskara II a mathematician-astronomer, in 1114-1185, solved
quadratic equations with more than one unknown and is considered the
originator of the equation.
| Real Life Quadratic Functions.docx |
| Quadratic Function Examples.docx |
