Transformations
There are 3 types of transformations, stretches, reflections or translations. (SRT). If you are new to this topic (or find it confusing) we'll start with the basics, and then do several examples. Watch these videos and you'll be ready for SRT!
Introduction
This video introduces the different types of transformation, stretch, reflection and translations - and explains why we use that strange word. Check it out.
Vertical Translations
A vertical shift means you move the function up or down without changing the shape. We'll show you several examples right here.
Horizontal translations
Horizontal translations are more challenging, so we introduce them slowly and carefully with several examples.
Vertical stretch (compression & reflection!)
Stretches up and down can include vertical squeezes and even reflections over the x axis. Check out the video and see how it works.
Horizontal stretches! (These are harder!!)
When the stretch (or squeeze or reflection) is applied to the x values, that is more difficult. But we explain it in detail.
Combining transformations (2 examples)
When stretches and translations are mixed together, we need to convolute them. Check out this video for 2 examples.
A complex example
Lets graph y = -1/2 (-2x+4)^1/2 +1
Transforming a trapezoid
What if you need to shift and stretch and oddly shaped object?