Transforming Functions Desmos. Let us start with a function in this case it is f x x2 but it could be anything. Luckily several had and they had great advice regarding how to structure the task.
In this DESMOS activity students were able to visualize how in general the graph of function changes under rigid and none-rigid transformations. For example y2x1x3 would graph the line y2x for x values between 1 and 3. The challenges increase in difficulty as the activity proceeds and there are several reflection questions sprinkled amongst them.
Just like Transformations in Geometry we can move and resize the graphs of functions.
To limit the domain or range x or y values of a graph you can add the restriction to the end of your equation in curly brackets. I think this is well worth spending time on even though it is something the. The parent function sine is in red the transformation is in blue. The activity gives students timely feedback on their work letting them see the effect of their algebraic transformations on the graph itself.
