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Copy of Exploring Quadratic Equations

In the picture below, determine the approximate quadratic function needed to fit the arches.
1. Use the sliders to fit the parabola on the arches. 2. What significance does the variables a, b and c have on the quadratic equation? 3. What do you observe of the value of the y coordinate in the roots of the equation? 4. What happens to the parabola as the sign of the coefficient of 'a' shifts from positive to negative?