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