Challenge of the Day: Parameters of Polynomials

Challenge of the Day
[color=#000000][font=Tahoma, sans-serif]Use the file created in the last activity in order to work on the[br]following tasks:[br]Change the parameter value [i]a[/i] bymoving the point on the slider with the mouse. How does this[br]influence the graph of the polynomial? [b]What happens to the graph when the parameter value is:[br](a) greater than 1[br](b) between 0 and 1[br](c) negative[br] Write down your observations.[/b][/font][/color][br][br][color=#000000][font=Tahoma, sans-serif]A.The X value of the equation becomes positive and the aperture of the[br]parabola get narrower the bigger the X value is.[/font][/color][br][color=#000000][font=Tahoma, sans-serif]B.When b is zero, the parabola becomes a straight line.[/font][/color][br][color=#000000][font=Tahoma, sans-serif]C.The X value of the equation becomes negative and so the aperture of[br]the parabola.[br][br][b]Change the parameter value [i]b[/i]. How does this influence the graph of the polynomial?[/b][/font][/color][b][br][/b][color=#000000][font=Tahoma, sans-serif]The parabola position on the X axis.[br][b][br]Create a slider for a new parameter [i]c[/i].Enter the quadratic polynomial f(x) = a * x^2 + b x + c. Change the parameter value [i]c[/i] and find out how this influences the graph of the polynomial.[/b][/font][/color][br][color=#000000][font=Tahoma, sans-serif]The parabola position on the Y axis.[/font][/color][br]

Information: Challenge of the Day: Parameters of Polynomials