Simplest form (3x² +4x -8) + (-2x² +4x+2)

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.

A - Definition of a quadratic function

A quadratic function f is a function of the form

f(x) = ax2 + 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) = -2x2 + x - 1f(x) = x2 + 3x + 2

Interactive Tutorial (1)

The button below starts the applet on a separate large screen.

Step-by-step explanation:

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46.2+112.3

step-by-step explanation: