Function's Coeficients

Type in the input field the expression a*x^2 + b*x + c then press <enter>.   Right-click the drawing area and turn b and c parameters on.  Observe the animation and try to infer what is the influence of each coeficient (a, b and c) in the graphics' shape.   Send a concise report with your conclusions.


1.a  |   1.b  |   2.a  |   2.b  |   3.a  |   4.a  |   4.b  |   5.a  |   5.b  |   6.a  |   6.b  |   6.c  |   6.d  |   7.a  ]