[size=100]Use the applet below in order to work on the following tasks:[br][br][b]Task 1[br][/b]Change the parameter value[i] a[/i] by moving the point on the slider with the mouse. [list][*]How does this influence the graph of the polynomial? [/*][*]What happens to the graph when the parameter value is[br] (a) greater than 1,[br] (b) between 0 and 1, or[br] (c) negative?[/*][*]Write down your observations.[/*][/list][b][br]Task 2[/b][br]Change the parameter value [i]b[/i]. How does this influence the graph of the polynomial?[br][br][b]Task 3[/b][br]Create a slider for a new parameter [i]c[/i] and enter the quadratic polynomial [font=Courier New][code]f(x) = a * x^2 + b x + c[/code][/font]. Then, change the parameter values [i]b[/i] and[i] c[/i] and find out how this influences the graph of the new polynomial.[/size]