Horizontal Transformations — No Longer Backwards

Teaching students about the transformations of functions has always been a strange experience. The vertical scales and shifts are straightforward. Explanations of the concepts are straightforward, and a decent amount of practice results in success. Then come the horizontal transformations. We run out of breath explaining why `f(2x+6) ` results in a horizontal compression and left shift of `3 ` units, not a horizontal expansion and a right shift. Even with our best efforts, students can quickly forget and mess up horizontal transformations after they leave our care. There is a better way! Learn a new technique that will transform the way you explain horizontal transformations (pun intended 😊).

• Zoom recording