Quadratic Functions(General Form)
Quadratic functions and the properties of their graphs such as vertex and x and y intercepts are explored interactively using an html5 applet.
You can also use this applet to explore the relationship between the x intercepts of the graph of a quadratic function f(x) and the solutions of the corresponding quadratic equation f(x) = 0. The exploration is carried by changing values of 3 coefficients a, b and c included in the definition of f(x).
Once you finish the present tutorial, you may want to go through tutorials on quadratic functions and graphing quadratic functions.
If needed, Free graph paper is available.
A - Definition of a quadratic function
A quadratic functionf is a function of the form
f(x) = ax 2 + bx + c
where a , b and c are real numbers and a not equal to zero. The graph of the quadratic function is called a parabola. It is a "U" shaped curve that may open up or down depending on the sign of coefficient a .
Examples of quadratic functions
- f(x) = -2x 2 + x - 1
- f(x) = x 2 + 3x + 2
Interactive Tutorial (1)
Explore quadratic functions interactively using an html5 applet shown below; press "draw' button to start