Change the coefficients (the numbers in front of the x² and x terms) and the constant (the last number) to see what happens in a quadratic equation and its graph. [Use numbers less than 10, to start with.]

To change the coefficients, highlight the number first [otherwise the x disappears and it goes all wrong!].

When you get a curve entirely ABOVE (or entirely BELOW) the x axis, you will get COMPLEX SOLUTIONS (you will see j appearing in the factors). When the curve goes through the x-axis, we have REAL solutions.

If the red graph disappears, click on the rocket symbol (it zooms you out) until you see it again.

You can move the graph around by dragging on it (Move the cursor to the graph area and it changes to a hand. Drag it around and see what happens).

Open LiveMath file

[You need LiveMath Viewer to see this file. Go to Download LiveMath for information.]

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Need a break? Play a math game. Well, they all involve math... No, really!