246. Current weather for the Moab Area.
The transformations you have seen in the past can also be used to move and resize graphs of functions. We will be examining the following changes to f (x): - f (x), f (-x), f (x) + k, f (x + k), kf (x), f (kx) reflections translations dilations. Reflections of Functions: -f (x) and f (-x)
We need to do transformations on the opposite variable. So the inverse of this function will be horizontally stretched by a factor of 3, reflected over the x axis, and shifted to the left 2 units. Here is a graph of the two functions: Note that examples of Finding Inverses with Restricted Domains can be found here.