Problema Solution

Find the function (do not submit a graph) that is finally graphed after the following transformations are applied to the given function. Please be sure to show all of your work.

f(x)= |x|.

Shift right 3 units, stretch by a factor of 3, and shift vertically down 2 units.

Answer provided by our tutors

The shifted function is

F(x) = |x|-->|x-3|-->|x-3|/3-->|x-3|/3 -2

So

the shifted function is  f(x) = |x-3|/3 -2