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Quadratic Function Grade 9

The General Quadratic Function

This shows the graph of the general quadratic function, . You can use the sliders to change the values of a, b and c and see how this affects the graph. What is the condition on a, b and c if the graph goes through the x-axis?

1. What Happened to the graph if the value of a is positif? 2. What Happened to the graph if the value of b is negatif?

What do you think b represent? Is it value of b is important?

Can you describe what does value of c for? can you spot something from the graph behavior?