Search Results for “translation”
Horizontal Shift
This app allows students to experiment with horizontal translations of the typical root functions experienced in high school Algebra. (F-BF 3)
Vertical Shift
This app allows students to experiment with vertical translations of the typical root functions experienced in high school Algebra. (F-BF 3)
Reflection Composition
Composition of reflection in two parallel lines. Can you match the combined reflections with a translation?
Combination of Reflections through Parallel Lines
Press Reflect twice. Now drag point I so the orange triangle lies over the image under the second reflection. Can you describe another transformation equivalent to the two reflections?
Caustic Formation
Light from C reflects in the tangent to the circle at point B. Observe the trace as B rotates around the circle. While the individual rays move, the phantom curve - the caustic - does not. The caustic is the mathematical envelope of the reflected rays, which is to say that each reflected ray is tangential to the envelope curve. At any moment, each ray is moving with a combination of rotation and translation. Each point on the ray is undergoing a translation. Points on the ray which lie on the caustic are moving along teh length of the ray, and hence their motion is not visible. Which is why the caustic looks stationary while everything else moves.
