Java Applet  
Quadratic curve is determined by 5 points 
Quadratic equation of x,y represents ellipse,hyperbola,parabola. (exceptionally,2 lines,1 line,1 point etc) If the curve doesn't pass origine,then we can suppose f=1. Next if we specify 5 points to pass,then values of a,b,c,d,e determine. So we obtain one quadratic curve. In this applet you can move 5 points and draw corresponding quadratic curve. 

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