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GeoGebraGeoGebra Classroom

Graphing Quadratics in Intercept Form

Instructions:

Explore and observe how the graph and corresponding equation changes when you move the sliders. Answer the questions below the graph.

What are you initial observations?

What do you notice about a and how does it change the graph and equation?

What do you think would happen if slider a had different parameters (could go beyond -1 to 1)? Hint: double click on the a slider to change the max, min, and increment if you want to play around with it.

What do you notice about m and how does it change the graph and equation?

What do you notice about n and how does it change the graph and equation?

What happens when m and n are the same number?

What conjectures can you make from this activity?