I’m teaching my Algebra 2 students about transformations.  We look at how f(x) changes when you write f(x) + 5, or 2*f(x), or -f(x), etc.  Things get a little bit dicier when we start playing with the x-values, though, as opposed to the y-values.

If g(x) = f(x-3), what does the graph of g(x) look like?  How do you teach this to your students?  I got my inspiration from Will Rose on this one: check it out.


f(x) is a function monster, and it can only *eat* numbers between -2 and 4.


Now we define g(x) = f(x-3).  We know that f eats numbers from -2 to 4.  What numbers can g eat?

So how do you teach a) horizontal translations, b) horizontal dilations, and c) horizontal reflections to your students?  Go ahead and share your great ideas in the comments.