Investigating Regions of Quadratic Inequalities

Use the Geogebra file to investigate the nature of quadratic inequalities.[br]What happens as you change the value of 'a'?[br]By using the check boxes look at what is happening with the regions. Can you explain what is happening?[br]Where are the values in the inequalities coming from? How could you find them out if you were given the equation of the quadratic?[br]Can you find a time where the file gives you the wrong inequality?