Quadratic polynomials
Task
Explore the impact of parameters on a quadratic polynomial by either moving the function graph or changing its equation.
Instructions
1. | ![]() | Type f(x) = x^2 into the Input Bar and hit the Enter key.
Which shape does the function graph have? |
2. | ![]() | Use the Move tool and select the function. Click on the ![]() ![]() |
3. | ![]() | Change the function graph so that the corresponding equation matches
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4. | ![]() | Select the equation of the polynomial. Use the keyboard to change the equation to f(x) = 3 x^2 . How does the function graph change?
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5. | ![]() | Repeat changing the equation by typing in different values for the parameter (e.g. 0.5, -2, -0.8, 3). |