GeoGebra Applet

Objective: Students will be will know how to graph a function in the form f(x)=a(x+b)^2+c. Students will also be able to make predictions for the effect of changing the values of a, b, and c, and what effect it will have on the function.

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GeoGebra Applet


Let’s look at a function with the general equation of f(x)=〖a(x+b)〗^2+c. We will now see what will happen to this function when we change the values of a, b, and c.
What happens when we change the value for a, how does the function change?

What happens when we change the value for b, how does the function change?

What happens when we change the value for c, how does the function change?

At what values for a does the function flip upside down?

Mr. Daniel Bracken, Created with GeoGebra