the function of the dotted graph is f(x) shifted (or translated) 5 units to the right and then reflected across the x-axis.
shifting it to the right is happening by reducing every x value by 5 (so that we get for x the functional value of x-5).
and reflecting it across the x-axis simply means to flip the sign. everything that was originally above the x-axis is now with the same distance below the x-axis (and vice versa).
