Shifted Sine

This sketch has sliders for the parameters that control a graph transformation of the sine curve. Can you figure out and describe what each slider does? Exercise: plot two points not on the curve. Can you transform the sine so that it hits both points? Take turns challenge a math partner to do this. Challenge: before setting the controls, can you figure out what the parameters would be to match the graph of [math]2cos(3-x)[/math]?

Find more GeoGebra sketches at [url]mathhombre.blogspot.com[/url].