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8-3 Width of a Parabola

Experiment with the interactive below to see how the value of a impacts the graph of the parabola defined by y = ax^2. Use the slider to adjust the value of a and watch the graph to see how it changes. What does the graph look like when a is positive? What does it look like when a is negative? How does the graph of the parabola change for larger or small values of a?