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.