Trig Functions and Plane Transformations - Lesson+Exploration

Explore the plane transformations applied to the sine and cosine functions.[br][br]How does the function graph modify if we apply some "classic" transformations (horizontal and vertical translations, dilations, composition with [math]abs[/math] function, etc) ? [br][br]Before viewing the resulting graph, try to determine the new position of some "convenient" points related to the transformed function (e.g. the intersections with the [i]x[/i] and [i]y[/i] axes), as well as the possible variations of the main characteristics of the function (amplitude, period...).[br][br]Move the sliders to explore dynamically the magnitudes of translations and dilations, and drag point [i]P[/i] along the graph of the parent function to view the graph of the transformed one.[br][br]Deselect the [i]Instructions [/i]checkbox to start exploring transformations.[br]A button displayed on bottom right of the app allows you to delete traces.

Information: Trig Functions and Plane Transformations - Lesson+Exploration