Exploring Parameters of Polynomials
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Use the applet below in order to work on the following tasks:
Task 1
Change the parameter value a by moving 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, or (c) negative?
- Write down your observations.
f(x) = a * x^2 + b x + c. Then, change the parameter values b and c and find out how this influences the graph of the new polynomial.